The given ratio is \\\\(\\displaystyle \\frac{ke^2}{Gm_cm_p}\\\\)Where,\\\\(G =\\\\) Gravitational constantIts unit is \\\\(N\\,m^2kg^{-2}\\\\).\\\\(m_e\\\\) and \\\\(m_p=\\\\) Masses of electron and proton.Their unit is kg.\\\\(e =\\\\) Electric charge.Its unit is C.\\\\(k = A\\\\) constant \\\\(\\displaystyle =\\frac{1}{4\\pi\\in_0}\\\\)\\\\(\\in_0=\\\\) Permittivity of free spaceIts unit is \\\\(N\\,m^2C^{-2}\\\\). Unit of the given ratio \\\\(\\displaystyle \\frac{ke^2}{Gm_cm_p}=\\frac{[Nm^2C^2][C^{-2}]}{[Nm^2\\,kg^{-2}][kg][kg]}\\\\) \\\\(=M^0L^0T^0\\\\)Hence, the given ratio is dimensionless.\\\\(e=1.6\ imes 10^{-19}C\\\\)\\\\(G=6.67\ imes 10^{-11}N\\,m^2kg^{-2}\\\\)\\\\(m_e=9.1\ imes 106{-31}kg\\\\)\\\\(m_p=1.66\ imes 10^{-27}kg\\\\)\\\\(\\displaystyle \\frac{ke^2}{Gm_cm_p} = \\frac{9\ imes 10^9\ imes(1.6\ imes 10^{-19})^2}{6.67\ imes 10^{-11}\ imes 9.1\ imes 10^{-3}\ imes 1.67\ imes 10^{-22}}\\approx 2.3\ imes 10^{39}\\\\)This is the ratio of electric force to the gravitational force between a proton and an electron, keeping distance between them constant.