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Finding the Third Proportional to 47,418,787,737 and 103,102,230,987

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Solution

The third proportional to 47,418,787,737 and 103,102,230,987 is: 224,174,225,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,418,787,737 : 103,102,230,987 = 103,102,230,987 : x
  2. Step 2: Convert to fraction form
    47,418,787,737/103,102,230,987 = 103,102,230,987/x
  3. Step 3: Cross multiply
    47,418,787,737x = 103,102,230,987 × 103,102,230,987
  4. Step 4: Simplify right side
    47,418,787,737x = 10,630,070,034,496,703,430,656
  5. Step 5: Solve for x
    x = 10,630,070,034,496,703,430,656/47,418,787,737
  6. Step 6: Final answer
    x = 224,174,225,909.24

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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.