RE: Differentials?
As airbus said + the reason for them is that when a car turns, the wheels travel a different distance (inside and outside line) and hence they need to be able to rotate at different speeds.
As for the gear ratio like you mentioned, it's not really a gear ratio, but called the final drive ratio. You change gear ratios with the use of pinion/spur gears but of course the differential final drive has an impact on that