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Finding the Third Proportional to 15,338,724 and 24,418,767

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Solution

The third proportional to 15,338,724 and 24,418,767 is: 38,873,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338,724 : 24,418,767 = 24,418,767 : x
  2. Step 2: Convert to fraction form
    15,338,724/24,418,767 = 24,418,767/x
  3. Step 3: Cross multiply
    15,338,724x = 24,418,767 × 24,418,767
  4. Step 4: Simplify right side
    15,338,724x = 596,276,181,800,289
  5. Step 5: Solve for x
    x = 596,276,181,800,289/15,338,724
  6. Step 6: Final answer
    x = 38,873,910.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.