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Finding the Third Proportional to 563,727,630 and 862,439,769

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Solution

The third proportional to 563,727,630 and 862,439,769 is: 1,319,435,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,727,630 : 862,439,769 = 862,439,769 : x
  2. Step 2: Convert to fraction form
    563,727,630/862,439,769 = 862,439,769/x
  3. Step 3: Cross multiply
    563,727,630x = 862,439,769 × 862,439,769
  4. Step 4: Simplify right side
    563,727,630x = 743,802,355,152,773,376
  5. Step 5: Solve for x
    x = 743,802,355,152,773,376/563,727,630
  6. Step 6: Final answer
    x = 1,319,435,691.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.