Alicia got 10 small boxed presents + 12 medium boxed presents = <<10+12=22>>22 presents.
A third of all the presents Alicia gets are in large boxes, 22 / 2 = <<22/2=11>>11 is half of the presents we know Alicia got.
11 x 3 = <<11*3=33>>33 presents Alicia got on her birthday.
#### 33