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Finding the Third Proportional to 24,329,264 and 34,013,744

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Solution

The third proportional to 24,329,264 and 34,013,744 is: 47,553,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,329,264 : 34,013,744 = 34,013,744 : x
  2. Step 2: Convert to fraction form
    24,329,264/34,013,744 = 34,013,744/x
  3. Step 3: Cross multiply
    24,329,264x = 34,013,744 × 34,013,744
  4. Step 4: Simplify right side
    24,329,264x = 1,156,934,780,897,536
  5. Step 5: Solve for x
    x = 1,156,934,780,897,536/24,329,264
  6. Step 6: Final answer
    x = 47,553,217.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.