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Finding the Third Proportional to 37,858,843.13 and 82,350,911.25

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Solution

The third proportional to 37,858,843.13 and 82,350,911.25 is: 179,130,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858,843.13 : 82,350,911.25 = 82,350,911.25 : x
  2. Step 2: Convert to fraction form
    37,858,843.13/82,350,911.25 = 82,350,911.25/x
  3. Step 3: Cross multiply
    37,858,843.13x = 82,350,911.25 × 82,350,911.25
  4. Step 4: Simplify right side
    37,858,843.13x = 6,781,672,583,705,377
  5. Step 5: Solve for x
    x = 6,781,672,583,705,377/37,858,843.13
  6. Step 6: Final answer
    x = 179,130,475.84

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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.