Whopping noise from open rear windows on 2010 Corolla LE

Yup!
This buffeting/cavitation phenomenon is present in virtually all modern cars.
Because they are designed for maximum aerodynamics and because the designers intended for the windows to be kept closed for maximum fuel economy, this situation is essentially standard equipment on cars nowadays.

As circuitsmith mentioned, the only (partial) cure is to open one or both front windows a bit.