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Finding the Third Proportional to 3,387,332,478 and 7,337,534,787

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Solution

The third proportional to 3,387,332,478 and 7,337,534,787 is: 15,894,340,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387,332,478 : 7,337,534,787 = 7,337,534,787 : x
  2. Step 2: Convert to fraction form
    3,387,332,478/7,337,534,787 = 7,337,534,787/x
  3. Step 3: Cross multiply
    3,387,332,478x = 7,337,534,787 × 7,337,534,787
  4. Step 4: Simplify right side
    3,387,332,478x = 53,839,416,750,435,131,392
  5. Step 5: Solve for x
    x = 53,839,416,750,435,131,392/3,387,332,478
  6. Step 6: Final answer
    x = 15,894,340,782.93

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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.