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Finding the Third Proportional to 37,858,915.50 and 82,351,104.75

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Solution

The third proportional to 37,858,915.50 and 82,351,104.75 is: 179,130,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858,915.50 : 82,351,104.75 = 82,351,104.75 : x
  2. Step 2: Convert to fraction form
    37,858,915.50/82,351,104.75 = 82,351,104.75/x
  3. Step 3: Cross multiply
    37,858,915.50x = 82,351,104.75 × 82,351,104.75
  4. Step 4: Simplify right side
    37,858,915.50x = 6,781,704,453,545,473
  5. Step 5: Solve for x
    x = 6,781,704,453,545,473/37,858,915.50
  6. Step 6: Final answer
    x = 179,130,975.20

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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.