In the equation, 2 moles of water will react to form 2 moles of KOH. So if you react 5 moles of water, you will form 5 moles of KOH. Same for your question. If you react 2963.1 moles of water, you will get 2963.1 moles of KOH.
This one seems almost too simple only because the water and KOH have the same coefficient in the balanced equation. If they had different coefficients (like water and the H2), you would have to use a ratio (half the coefficient of water for H2).