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Finding the Third Proportional to 15,732,972 and 34,234,686

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Solution

The third proportional to 15,732,972 and 34,234,686 is: 74,494,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732,972 : 34,234,686 = 34,234,686 : x
  2. Step 2: Convert to fraction form
    15,732,972/34,234,686 = 34,234,686/x
  3. Step 3: Cross multiply
    15,732,972x = 34,234,686 × 34,234,686
  4. Step 4: Simplify right side
    15,732,972x = 1,172,013,725,518,596
  5. Step 5: Solve for x
    x = 1,172,013,725,518,596/15,732,972
  6. Step 6: Final answer
    x = 74,494,108.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.