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Finding the Third Proportional to 19,348,498 and 27,969,691

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Solution

The third proportional to 19,348,498 and 27,969,691 is: 40,432,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,348,498 : 27,969,691 = 27,969,691 : x
  2. Step 2: Convert to fraction form
    19,348,498/27,969,691 = 27,969,691/x
  3. Step 3: Cross multiply
    19,348,498x = 27,969,691 × 27,969,691
  4. Step 4: Simplify right side
    19,348,498x = 782,303,614,635,481
  5. Step 5: Solve for x
    x = 782,303,614,635,481/19,348,498
  6. Step 6: Final answer
    x = 40,432,265.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.