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Finding the Third Proportional to 10,479,445,812 and 22,727,040,192

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Solution

The third proportional to 10,479,445,812 and 22,727,040,192 is: 49,288,709,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479,445,812 : 22,727,040,192 = 22,727,040,192 : x
  2. Step 2: Convert to fraction form
    10,479,445,812/22,727,040,192 = 22,727,040,192/x
  3. Step 3: Cross multiply
    10,479,445,812x = 22,727,040,192 × 22,727,040,192
  4. Step 4: Simplify right side
    10,479,445,812x = 516,518,355,888,783,425,536
  5. Step 5: Solve for x
    x = 516,518,355,888,783,425,536/10,479,445,812
  6. Step 6: Final answer
    x = 49,288,709,074.42

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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.