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Finding the Third Proportional to 3,369,337,856 and 7,206,051,747

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Solution

The third proportional to 3,369,337,856 and 7,206,051,747 is: 15,411,687,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369,337,856 : 7,206,051,747 = 7,206,051,747 : x
  2. Step 2: Convert to fraction form
    3,369,337,856/7,206,051,747 = 7,206,051,747/x
  3. Step 3: Cross multiply
    3,369,337,856x = 7,206,051,747 × 7,206,051,747
  4. Step 4: Simplify right side
    3,369,337,856x = 51,927,181,780,441,751,552
  5. Step 5: Solve for x
    x = 51,927,181,780,441,751,552/3,369,337,856
  6. Step 6: Final answer
    x = 15,411,687,399.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.