EX-10.4





 Exhibit 10.4 

PRIVATE PLACEMENT UNITS PURCHASE AGREEMENT 

THIS PRIVATE PLACEMENT UNITS PURCHASE AGREEMENT, dated as of [●], 2021 (as it may from time to time be amended and including all
exhibits referenced herein, this “Agreement”), is entered into by and among 10X Capital Venture Acquisition Corp. III, a Cayman Islands exempted company (the “Company”), and 10X Capital SPAC Sponsor III LLC, a
Cayman Islands limited liability company (the “Purchaser”). 
 WHEREAS, the Company intends to consummate an initial public
offering of the Company’s units (the “Public Offering”), each unit consisting of one Class A ordinary share, par value $0.0001 per share of the Company (each, a “Share”), and one-half of one redeemable
warrant. Each whole warrant entitles the holder to purchase one Share at an exercise price of $11.50 per Share. The Purchaser has agreed to purchase an aggregate of 806,000 units (or 862,250 units in the aggregate if the over-allotment option in
connection with the Public Offering is exercised in full) (the “Private Placement Units”), each Private Placement Unit consisting of one Share and one-half of one redeemable warrant (the “Private Placement
Warrants”), each Private Placement Warrant entitling the holder to purchase one Share at an exercise price of $11.50 per Share. 

NOW THEREFORE, in consideration of the mutual promises contained in this Agreement and other good and valuable consideration, the receipt and
sufficiency of which are hereby acknowledged, the parties to this Agreement hereby, intending legally to be bound, agree as follows: 
 AGREEMENT 

Section 1. Authorization, Purchase and Sale; Terms of the Private Placement Units. 

A. Authorization of the Private Placement Units. The Company has duly authorized the issuance and sale of the Private Placement Units
to the Purchaser. 
 B. Purchase and Sale of the Private Placement Units. 

(i) On the date of the consummation of the Public Offering or on such earlier time and date as may be mutually agreed by the Purchaser and the
Company (the “Closing Date”), the Company shall issue and sell to the Purchaser, and the Purchaser shall purchase from the Company, an aggregate of 806,000 Private Placement Units at a price of $10.00 per unit for an aggregate
purchase price of $8,060,000 (the “Purchase Price”), which shall be paid by wire transfer of immediately available funds to the Company in accordance with the Company’s wiring instructions at least one business day prior to the
date of effectiveness of the registration statement on Form S-1 (File No. 333-253868) filed in connection with the Public Offering. On the Closing Date, the
Company, shall either, at its option, deliver certificates evidencing the Private Placement Units purchased by the Purchaser on such date duly registered in the Purchaser’s name to the Purchaser, or effect such delivery in book-entry form. 

(ii) On the date of the consummation of the closing of the over-allotment option in connection with the Public Offering or on such earlier
time and date as may be mutually agreed by the Purchaser and the Company (each such date, an “Over-allotment Closing Date”, and each Over-allotment Closing Date (if any) and the Initial Closing Date being sometimes referred to
herein as a “Closing Date”), the Company shall issue and sell to the Purchaser, and the Purchaser shall purchase from the Company, up to an aggregate of 56,250 additional Private Placement Units at a price of $10.00 per unit for an
aggregate purchase price of up to $562,500 (if the over-allotment option in connection with the Public Offering is exercised in full) (the “Over-allotment Purchase Price”). The Purchaser shall pay the Over-allotment Purchase Price
by wire transfer of immediately available funds to the Company at least one business day prior to the Over-Allotment Closing Date in accordance with the Company’s wiring instructions. On the Over-allotment Closing Date, upon the payment by the
Purchaser of the Over-allotment Purchase Price, the Company shall, at its option, deliver a certificate evidencing the Private Placement Units purchased by the Purchaser on such date duly registered in the Purchaser’s name to the Purchaser, or
effect such delivery in book-entry form. 
 C. Terms of the Private Placement Units. 

(i) (i) The Private Placement Units are substantially identical to the units to be offered in the Public Offering except that (a) the
Private Placement Units (including the underlying Shares, Private Placement Warrants and the Shares issuable upon exercise of the Private Placement Warrants) will not, except in limited circumstances, be transferable or salable until 30 days after
the completion of the Company’s initial business combination (the “Business Combination”) so long as they are held by the Purchaser or its permitted transferees, and (b) the Private Placement Units are being purchased pursuant to
an exemption from the registration requirements of the Securities Act and will become freely tradable only after the expiration of the lockup described above in clause (a) and they are registered pursuant to the Registration and Shareholder
Rights Agreement (as defined below) or an exemption from registration is available, and the restrictions described above in clause (a) have expired. 

  
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 (ii) The Private Placement Warrants underlying the Private Placement Units shall have their
terms set forth in a Warrant Agreement to be entered into by the Company and a warrant agent, in connection with the Public Offering (a “Warrant Agreement”). 

(iii) At or prior to the time of the Closing Date, the Company and the Purchaser shall enter into a registration rights agreement (the
“Registration Rights Agreement”) pursuant to which the Company will grant certain registration rights to the Purchaser relating to the Private Placement Units and the underlying Shares and Private Placement Warrants (including the
Shares underlying the Private Placement Warrants). 
 Section 2. Representations and Warranties of the
Company. As a material inducement to the Purchaser to enter into this Agreement and purchase the Private Placement Units, the Company hereby represents and warrants to the Purchaser (which representations and warranties shall survive the Closing
Date) that: 
 A. Organization and Corporate Power. The Company is an exempted company duly organized, validly existing and in good
standing under the laws of the Cayman Islands and is qualified to do business in every jurisdiction in which the failure to so qualify would reasonably be expected to have a material adverse effect on the financial condition, operating results or
assets of the Company. The Company possesses all requisite corporate power and authority necessary to carry out the transactions contemplated by this Agreement and the Warrant Agreement. 

B. Authorization; No Breach. 

(i) The execution, delivery and performance of this Agreement and the Private Placement Units have been duly authorized and approved by the
Company as of the Closing Date. This Agreement constitutes a valid and binding obligation of the Company, enforceable in accordance with its terms. Upon issuance in accordance with, and payment pursuant to, the terms of the Warrant Agreement and
this Agreement, the Private Placement Units and the underlying Shares and Private Placement Warrants will constitute valid and binding obligations of the Company, enforceable in accordance with their terms as of each Closing Date. 

(ii) The execution and delivery by the Company of this Agreement and the Private Placement Units, the issuance and sale of the Private
Placement Units, the issuance of the Private Placement Warrants and the Shares included in the Private Placement Units, the issuance of the Shares upon exercise of the Private Placement Warrants and the fulfillment of, and compliance with, the
respective terms hereof and thereof by the Company, do not and will not as of each Closing Date (a) conflict with or result in a breach of the terms, conditions or provisions of, (b) constitute a default under, (c) result in the
creation of any lien, security interest, charge or encumbrance upon the Company’s share capital or assets under, (d) result in a violation of, or (e) require any authorization, consent, approval, exemption, action, notice, declaration
or filing, in each case, by or to any court or administrative or governmental body or agency pursuant to the memorandum and articles of association of the Company (in effect on the date hereof or as may be amended prior to completion of the
contemplated Public Offering), or any material law, statute, rule or regulation to which the Company is subject, or any agreement, order, judgment or decree to which the Company is subject, except for any filings required after the date hereof under
federal or state securities laws. 
 C. Title to Securities. Upon issuance in accordance with, and payment pursuant to, the terms
hereof and the Warrant Agreement and the amended and restated memorandum and articles of association of the Company, and upon registration in the Company’s register of members, the Shares included in the Private Placement Units and the Shares
issuable upon exercise of the Private Placement Warrants will be duly and validly issued, fully paid and nonassessable. On the date of issuance of the Private Placement Units, the Shares included in the Private Placement Units and the Shares
issuable upon exercise of the Private Placement Warrants shall have been reserved for issuance. Upon issuance in accordance with, and 

  
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payment pursuant to, the terms hereof and the Warrant Agreement, and upon registration in the Company’s register of members, the Purchaser will have good title to the Private Placement Units
purchased by it, the Private Placement Warrants and Shares included in the Private Placement Units and and the Shares issuable upon exercise of such Private Placement Warrants, free and clear of all liens, claims and encumbrances of any kind, other
than (i) transfer restrictions hereunder and under the other agreements contemplated hereby, (ii) transfer restrictions under federal and state securities laws, and (iii) liens, claims or encumbrances imposed due to the actions of the
Purchaser. 
 D. Governmental Consents. No permit, consent, approval or authorization of, or declaration to or filing with, any
governmental authority is required in connection with the execution, delivery and performance by the Company of this Agreement or the consummation by the Company of any other transactions contemplated hereby. 

Section 3. Representations and Warranties of the Purchaser. As a material inducement to the Company to enter
into this Agreement and issue and sell the Private Placement Units to the Purchaser, the Purchaser hereby represents and warrants to the Company (which representations and warranties shall survive each Closing Date) that: 

A. Organization and Requisite Authority. The Purchaser possesses all requisite power and authority necessary to carry out the
transactions contemplated by this Agreement. 
 B. Authorization; No Breach. 

(i) This Agreement constitutes a valid and binding obligation of the Purchaser, enforceable in accordance with its terms, subject to
bankruptcy, insolvency, fraudulent conveyance, reorganization, moratorium and other laws of general applicability relating to or affecting creditors’ rights and to general equitable principles (whether considered in a proceeding in equity or
law). 
 (ii) The execution and delivery by the Purchaser of this Agreement and the fulfillment of and compliance with the terms hereof by
the Purchaser does not and shall not as of each Closing Date conflict with or result in a breach by the Purchaser of the terms, conditions or provisions of any agreement, instrument, order, judgment or decree to which the Purchaser is subject that
would materially impact its ability to perform its obligations hereunder. 
 C. Investment Representations. 

(i) The Purchaser is acquiring the Private Placement Units, the Shares and Private Placement Warrants included in the Private Placement Units
and, upon exercise of the Private Placement Warrants, the Shares issuable upon such exercise (collectively, the “Securities”) for the Purchaser’s own account, for investment purposes only and not with a view towards, or for
resale in connection with, any public sale or distribution thereof. 
 (ii) The Purchaser is an “accredited investor” as such term
is defined in Rule 501(a)(3) of Regulation D of the Securities Act of 1933, as amended (the “Securities Act”), and the Purchaser has not experienced a disqualifying event as enumerated pursuant to Rule 506(d) of Regulation D under
the Securities Act. 
 (iii) The Purchaser understands that the Securities are being offered and will be sold to it in reliance on specific
exemptions from the registration requirements of the United States federal and state securities laws and that the Company is relying upon the truth and accuracy of, and the Purchaser’s compliance with, the representations and warranties of the
Purchaser set forth herein in order to determine the availability of such exemptions and the eligibility of the Purchaser to acquire such Securities. 

  
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 (iv) The Purchaser did not decide to enter into this Agreement as a result of any general
solicitation or general advertising within the meaning of Rule 502(c) under the Securities Act. 
 (v) The Purchaser has been furnished with
all materials relating to the business, finances and operations of the Company and materials relating to the offer and sale of the Securities which have been requested by the Purchaser. The Purchaser has been afforded the opportunity to ask
questions of the executive officers and directors of the Company. The Purchaser understands that its investment in the Securities involves a high degree of risk and it has sought such accounting, legal and tax advice as it has considered necessary
to make an informed investment decision with respect to the acquisition of the Securities. 
 (vi) The Purchaser understands that no United
States federal or state agency or any other government or governmental agency has passed on or made any recommendation or endorsement of the Securities or the fairness or suitability of the investment in the Securities by the Purchaser nor have such
authorities passed upon or endorsed the merits of the offering of the Securities. 
 (vii) The Purchaser understands that: (a) the
Securities have not been and are not being registered under the Securities Act or any state securities laws, and may not be offered for sale, sold, assigned or transferred unless (1) subsequently registered thereunder or (2) sold in
reliance on an exemption therefrom; and (b) except as specifically set forth in the Registration Rights Agreement, neither the Company nor any other person is under any obligation to register the Securities under the Securities Act or any state
securities laws or to comply with the terms and conditions of any exemption thereunder. While the Purchaser understands that Rule 144 under the Securities Act is not available for the resale of securities initially issued by shell companies (other
than business combination related shell companies) or issuers that have been at any time previously a shell company, the Purchaser understands that Rule 144 includes an exception to this prohibition if the following conditions are met: (i) the
issuer of the securities that was formerly a shell company has ceased to be a shell company; (ii) the issuer of the securities is subject to the reporting requirements of Section 13 or 15(d) of the Securities Exchange Act of 1934, as
amended (the “Exchange Act”); (iii) the issuer of the securities has filed all Exchange Act reports and material required to be filed, as applicable, during the preceding 12 months (or such shorter period that the issuer was
required to file such reports and materials), other than Form 8-K reports; and (iv) at least one year has elapsed from the time that the issuer filed current Form 10 type information with the SEC
reflecting its status as an entity that is not a shell company. 
 (viii) The Purchaser has knowledge and experience in financial and
business matters, understands the high degree of risk associated with investments in the securities of companies in the development stage such as the Company, is capable of evaluating the merits and risks of an investment in the Securities and is
able to bear the economic risk of an investment in the Securities in the amount contemplated hereunder for an indefinite period of time. The Purchaser has adequate means of providing for its current financial needs and contingencies and will have no
current or anticipated future needs for liquidity which would be jeopardized by the investment in the Securities. The Purchaser can afford a complete loss of its investment in the Securities. 

(ix) The Purchaser understands that the Private Placement Units and the Shares included in the Private Placement Units shall bear the
following legend and appropriate “stop transfer restrictions”: 
 “THE SECURITIES REPRESENTED HEREBY HAVE NOT BEEN REGISTERED
UNDER THE UNITED STATES SECURITIES ACT OF 1933, AS AMENDED, OR ANY STATE SECURITIES LAWS, AND NEITHER THE SECURITIES NOR ANY INTEREST THEREIN MAY BE OFFERED, SOLD, TRANSFERRED, PLEDGED OR OTHERWISE DISPOSED OF EXCEPT PURSUANT TO AN EFFECTIVE
REGISTRATION STATEMENT UNDER SUCH ACT OR SUCH LAWS OR AN EXEMPTION FROM REGISTRATION UNDER SUCH ACT AND SUCH LAWS WHICH, IN THE OPINION OF COUNSEL, IS AVAILABLE. 

  
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 THE SECURITIES REPRESENTED BY THIS CERTIFICATE ARE SUBJECT TO LOCKUP PROVISIONS AND MAY NOT
BE OFFERED, SOLD, TRANSFERRED, PLEDGED OR OTHERWISE DISPOSED OF DURING THE TERM OF THE LOCKUP.” 
 (x) The Purchaser understands that
the Private Placement Warrants shall bear the legend substantially in the form set forth in the Warrant Agreement. 

Section 4. Conditions of the Purchaser’s Obligations. The obligations of the Purchaser to purchase and
pay for the Private Placement Units are subject to the fulfillment, on or before each Closing Date, of each of the following conditions: 

A. Representations and Warranties. The representations and warranties of the Company contained in Section 2 shall be true and
correct at and as of such Closing Date as though then made. 
 B. Performance. The Company shall have performed and complied with all
agreements, obligations and conditions contained in this Agreement that are required to be performed or complied with by it on or before such Closing Date. 

C. No Injunction. No litigation, statute, rule, regulation, executive order, decree, ruling or injunction shall have been enacted,
entered, promulgated or endorsed by or in any court or governmental authority of competent jurisdiction or any self-regulatory organization having authority over the matters contemplated hereby, which prohibits the consummation of any of the
transactions contemplated by this Agreement or the Warrant Agreement. 
 D. Warrant Agreement and Registration Rights Agreement. The
Company shall have entered into the Warrant Agreement and the Registration Rights Agreement, each on terms satisfactory to the Purchaser. 

E. Corporate Consents. The Company shall have obtained the consent of its Board of Directors authorizing the execution, delivery and
performance of this Agreement and the Warrant Agreement and the issuance and sale of the Private Placement Units hereunder. 

Section 5. Conditions of the Company’s Obligations. The obligations of the Company to the Purchaser
under this Agreement are subject to the fulfillment, on or before each Closing Date, of each of the following conditions: 
 A.
Representations and Warranties. The representations and warranties of the Purchaser contained in Section 3 shall be true and correct at and as of such Closing Date as though then made. 

B. Performance. The Purchaser shall have performed and complied with all agreements, obligations and conditions contained in this
Agreement that are required to be performed or complied with by the Purchaser on or before such Closing Date. 
 C. Corporate
Consents. The Company shall have obtained the consent of its Board of Directors authorizing the execution, delivery and performance of this Agreement and the Warrant Agreement and the issuance and sale of the Private Placement Units hereunder.

 D. No Injunction. No litigation, statute, rule, regulation, executive order, decree, ruling or injunction shall have been enacted,
entered, promulgated or endorsed by or in any court or governmental authority of competent jurisdiction or any self-regulatory organization having authority over the matters contemplated hereby, which prohibits the consummation of any of the
transactions contemplated by this Agreement or the Warrant Agreement. 

  
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 E. Warrant Agreement. The Company shall have entered into the Warrant Agreement on
terms satisfactory to the Company. 
 Section 6. Termination. This Agreement may be terminated at any time
after December 31, 2021 upon the election by either the Company or the Purchaser upon written notice to the other party if the closing of the Public Offering does not occur prior to such date. 

Section 7. Survival of Representations and Warranties. All of the representations and warranties contained
herein shall survive each Closing Date. 
 Section 8. Definitions. Terms used but not otherwise defined in
this Agreement shall have the meaning assigned to such terms in the registration statement on Form S-1 the Company plans to file with the U.S. Securities and Exchange Commission under the Securities Act. 

Section 9. Miscellaneous. 

A. Successors and Assigns. Except as otherwise expressly provided herein, all covenants and agreements contained in this Agreement by
or on behalf of any of the parties hereto shall bind and inure to the benefit of the respective successors of the parties hereto whether so expressed or not. Notwithstanding the foregoing or anything to the contrary herein, the parties may not
assign this Agreement without the prior written consent of the other party hereto, other than assignments by the Purchaser to its affiliates (including, without limitation, one or more of its members). 

B. Severability. Whenever possible, each provision of this Agreement shall be interpreted in such manner as to be effective and valid
under applicable law, but if any provision of this Agreement is held to be prohibited by or invalid under applicable law, such provision shall be ineffective only to the extent of such prohibition or invalidity, without invalidating the remainder of
this Agreement. 
 C. Counterparts. This Agreement may be executed simultaneously in two or more counterparts, none of which need
contain the signatures of more than one party, but all such counterparts taken together shall constitute one and the same agreement. In the event that any signature is delivered by facsimile transmission or by
e-mail delivery of a “pdf” format data file, such signature shall create a valid and binding obligation of the party executing (or on whose behalf such signature is executed) with the same force and
effect as if such facsimile or “.pdf” signature page were an original thereof. 
 D. Descriptive Headings; Interpretation.
The descriptive headings of this Agreement are inserted for convenience only and do not constitute a substantive part of this Agreement. The use of the word “including” in this Agreement shall be by way of example rather than by
limitation. 
 E. Governing Law. This Agreement shall be deemed to be a contract made under the laws of the State of New York and for
all purposes shall be construed in accordance with the internal laws of the State of New York. 
 F. Amendments. This Agreement may
not be amended, modified or waived as to any particular provision, except by a written instrument executed by all parties hereto. 

[Signature Page Follows] 

  
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 IN WITNESS WHEREOF, the parties hereto have executed this Agreement to be effective
as of the date first set forth above. 
  

			
	COMPANY:
	
	10X CAPITAL VENTURE ACQUISITION CORP. III, a Cayman Islands exempted company
		
	By:	 	 
		 	Name:   Hans Thomas
		 	Title:     Chairman and Chief Executive Officer
	
	PURCHASER:
	
	10X CAPITAL SPAC SPONSOR III LLC, a Cayman Islands limited liability company
		
	By:	 	 
		 	Name:   Hans Thomas
		 	Title:     Manager



  
 [Signature Page to
Private Placement Units Purchase Agreement]