I have a garage like this using 8" precast hollow core slabs. My garage is a 36' wide x 24' deep, 3 car with about 15' of that width, extending all the way back another 24' to the back of the house (basically a big sideways L).
The extra costs involved:
- The slabs themselves
- Thickening the front and back walls from 8" to 12" (for extra strength and to create a 4" reverse brick ledge for the slabs to sit on)
- Changing the footings from 8" x 16" to 12" x 24"
- Extra rebar (probably about double the normal amount)
- A 12" tall steel beam to span that 15' wide area where the "L" is
- Crane service for placing the slabs
- Grouting between the slabs (5000 psi concrete)
- The liquid waterproofing membrane applied on top of the grouted slabs
- The 3" concrete topping layer poured on top of the membrane
- The extra single car garage door at the back
I'm not counting the 4" concrete floor in the newly formed "under garage" as you'd be buying one of those for the upper garage anyway, if you didn't do this.