For a substance flowing perpendicularly through a flat surface, the flow rate through the surface is proportional to the area of the surface. A certain flat surface consists of two adjacent circular regions. The radius of the larger circle is 2 times the radius of the smaller circle. The substance flows uniformly through this surface. If the total flow rate through both circles is cubic meters per second, what is the flow rate, in cubic meters per second, through the larger circle?
