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Finding the Third Proportional to 5,251,784 and 11,399,876

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Solution

The third proportional to 5,251,784 and 11,399,876 is: 24,745,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251,784 : 11,399,876 = 11,399,876 : x
  2. Step 2: Convert to fraction form
    5,251,784/11,399,876 = 11,399,876/x
  3. Step 3: Cross multiply
    5,251,784x = 11,399,876 × 11,399,876
  4. Step 4: Simplify right side
    5,251,784x = 129,957,172,815,376
  5. Step 5: Solve for x
    x = 129,957,172,815,376/5,251,784
  6. Step 6: Final answer
    x = 24,745,338.50

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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.