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Finding the Third Proportional to 37,854,540 and 82,352,092.50

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Solution

The third proportional to 37,854,540 and 82,352,092.50 is: 179,155,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854,540 : 82,352,092.50 = 82,352,092.50 : x
  2. Step 2: Convert to fraction form
    37,854,540/82,352,092.50 = 82,352,092.50/x
  3. Step 3: Cross multiply
    37,854,540x = 82,352,092.50 × 82,352,092.50
  4. Step 4: Simplify right side
    37,854,540x = 6,781,867,139,128,556
  5. Step 5: Solve for x
    x = 6,781,867,139,128,556/37,854,540
  6. Step 6: Final answer
    x = 179,155,978.10

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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.