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Finding the Third Proportional to 37,855,542 and 82,171,804.50

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Solution

The third proportional to 37,855,542 and 82,171,804.50 is: 178,367,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,855,542 : 82,171,804.50 = 82,171,804.50 : x
  2. Step 2: Convert to fraction form
    37,855,542/82,171,804.50 = 82,171,804.50/x
  3. Step 3: Cross multiply
    37,855,542x = 82,171,804.50 × 82,171,804.50
  4. Step 4: Simplify right side
    37,855,542x = 6,752,205,454,786,220
  5. Step 5: Solve for x
    x = 6,752,205,454,786,220/37,855,542
  6. Step 6: Final answer
    x = 178,367,686.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.