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Finding the Third Proportional to 37,854,570 and 82,352,151

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Solution

The third proportional to 37,854,570 and 82,352,151 is: 179,156,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854,570 : 82,352,151 = 82,352,151 : x
  2. Step 2: Convert to fraction form
    37,854,570/82,352,151 = 82,352,151/x
  3. Step 3: Cross multiply
    37,854,570x = 82,352,151 × 82,352,151
  4. Step 4: Simplify right side
    37,854,570x = 6,781,876,774,326,801
  5. Step 5: Solve for x
    x = 6,781,876,774,326,801/37,854,570
  6. Step 6: Final answer
    x = 179,156,090.65

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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.