Chapter 14.2, Problem 2RC

You are given the equilibrium constant for the reaction

${\text{N}}_2(g)+{\text{O}}_2(g)\rightleftharpoons 2\text{NO}(g)$

Suppose you want to calculate the equilibrium constant for the reaction

${\text{N}}_2(g)+2{\text{O}}_2(g)\rightleftharpoons 2{\text{NO}}_2(g)$

What additional equilibrium constant value (for another reaction) would you need for this calculation? Assume all the equilibria are studied at the same temperature.