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Finding the Third Proportional to 7,447,466 and 11,387,811

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Solution

The third proportional to 7,447,466 and 11,387,811 is: 17,412,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,466 : 11,387,811 = 11,387,811 : x
  2. Step 2: Convert to fraction form
    7,447,466/11,387,811 = 11,387,811/x
  3. Step 3: Cross multiply
    7,447,466x = 11,387,811 × 11,387,811
  4. Step 4: Simplify right side
    7,447,466x = 129,682,239,371,721
  5. Step 5: Solve for x
    x = 129,682,239,371,721/7,447,466
  6. Step 6: Final answer
    x = 17,412,934.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.