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Finding the Third Proportional to 37,866,298.50 and 82,915,074

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Solution

The third proportional to 37,866,298.50 and 82,915,074 is: 181,557,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,866,298.50 : 82,915,074 = 82,915,074 : x
  2. Step 2: Convert to fraction form
    37,866,298.50/82,915,074 = 82,915,074/x
  3. Step 3: Cross multiply
    37,866,298.50x = 82,915,074 × 82,915,074
  4. Step 4: Simplify right side
    37,866,298.50x = 6,874,909,496,425,476
  5. Step 5: Solve for x
    x = 6,874,909,496,425,476/37,866,298.50
  6. Step 6: Final answer
    x = 181,557,473.76

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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.