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Finding the Third Proportional to 37,791,906.75 and 82,905,889.50

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Solution

The third proportional to 37,791,906.75 and 82,905,889.50 is: 181,874,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,791,906.75 : 82,905,889.50 = 82,905,889.50 : x
  2. Step 2: Convert to fraction form
    37,791,906.75/82,905,889.50 = 82,905,889.50/x
  3. Step 3: Cross multiply
    37,791,906.75x = 82,905,889.50 × 82,905,889.50
  4. Step 4: Simplify right side
    37,791,906.75x = 6,873,386,513,786,210
  5. Step 5: Solve for x
    x = 6,873,386,513,786,210/37,791,906.75
  6. Step 6: Final answer
    x = 181,874,562.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.