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Finding the Third Proportional to 38,007,897 and 82,982,652

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Solution

The third proportional to 38,007,897 and 82,982,652 is: 181,176,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,007,897 : 82,982,652 = 82,982,652 : x
  2. Step 2: Convert to fraction form
    38,007,897/82,982,652 = 82,982,652/x
  3. Step 3: Cross multiply
    38,007,897x = 82,982,652 × 82,982,652
  4. Step 4: Simplify right side
    38,007,897x = 6,886,120,532,953,104
  5. Step 5: Solve for x
    x = 6,886,120,532,953,104/38,007,897
  6. Step 6: Final answer
    x = 181,176,046.99

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