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Finding the Third Proportional to 12,933,432 and 17,982,729

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Solution

The third proportional to 12,933,432 and 17,982,729 is: 25,003,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933,432 : 17,982,729 = 17,982,729 : x
  2. Step 2: Convert to fraction form
    12,933,432/17,982,729 = 17,982,729/x
  3. Step 3: Cross multiply
    12,933,432x = 17,982,729 × 17,982,729
  4. Step 4: Simplify right side
    12,933,432x = 323,378,542,287,441
  5. Step 5: Solve for x
    x = 323,378,542,287,441/12,933,432
  6. Step 6: Final answer
    x = 25,003,304.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.