The correct equation for the overall reaction can simply be obtained by adding the two separate equations together. Now when you add the two equations together, the overall K can be calculated by multiplying the individual K values. Therefore:
K(overall) = K1 * K2
K(overall) = (1.6 x 10^-10) * (1.5 x 10^7)
K(overall) = 2.4 x 10^-3