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Finding the Third Proportional to 38,424,742 and 82,341,040

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Solution

The third proportional to 38,424,742 and 82,341,040 is: 176,450,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424,742 : 82,341,040 = 82,341,040 : x
  2. Step 2: Convert to fraction form
    38,424,742/82,341,040 = 82,341,040/x
  3. Step 3: Cross multiply
    38,424,742x = 82,341,040 × 82,341,040
  4. Step 4: Simplify right side
    38,424,742x = 6,780,046,868,281,600
  5. Step 5: Solve for x
    x = 6,780,046,868,281,600/38,424,742
  6. Step 6: Final answer
    x = 176,450,029.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.