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Finding the Third Proportional to 459,051,736 and 996,041,572

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Solution

The third proportional to 459,051,736 and 996,041,572 is: 2,161,191,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,051,736 : 996,041,572 = 996,041,572 : x
  2. Step 2: Convert to fraction form
    459,051,736/996,041,572 = 996,041,572/x
  3. Step 3: Cross multiply
    459,051,736x = 996,041,572 × 996,041,572
  4. Step 4: Simplify right side
    459,051,736x = 992,098,813,152,231,168
  5. Step 5: Solve for x
    x = 992,098,813,152,231,168/459,051,736
  6. Step 6: Final answer
    x = 2,161,191,724.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.