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Finding the Third Proportional to 24,700,854,474 and 38,166,915,519

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Solution

The third proportional to 24,700,854,474 and 38,166,915,519 is: 58,974,212,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700,854,474 : 38,166,915,519 = 38,166,915,519 : x
  2. Step 2: Convert to fraction form
    24,700,854,474/38,166,915,519 = 38,166,915,519/x
  3. Step 3: Cross multiply
    24,700,854,474x = 38,166,915,519 × 38,166,915,519
  4. Step 4: Simplify right side
    24,700,854,474x = 1,456,713,440,234,482,958,336
  5. Step 5: Solve for x
    x = 1,456,713,440,234,482,958,336/24,700,854,474
  6. Step 6: Final answer
    x = 58,974,212,481.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.