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Finding the Third Proportional to 37,972,338.38 and 82,844,098.13

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Solution

The third proportional to 37,972,338.38 and 82,844,098.13 is: 180,740,636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,972,338.38 : 82,844,098.13 = 82,844,098.13 : x
  2. Step 2: Convert to fraction form
    37,972,338.38/82,844,098.13 = 82,844,098.13/x
  3. Step 3: Cross multiply
    37,972,338.38x = 82,844,098.13 × 82,844,098.13
  4. Step 4: Simplify right side
    37,972,338.38x = 6,863,144,594,144,629
  5. Step 5: Solve for x
    x = 6,863,144,594,144,629/37,972,338.38
  6. Step 6: Final answer
    x = 180,740,636.15

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Why These Related Problems?

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