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Finding the Third Proportional to 37,167,021 and 80,027,694

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Solution

The third proportional to 37,167,021 and 80,027,694 is: 172,314,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,167,021 : 80,027,694 = 80,027,694 : x
  2. Step 2: Convert to fraction form
    37,167,021/80,027,694 = 80,027,694/x
  3. Step 3: Cross multiply
    37,167,021x = 80,027,694 × 80,027,694
  4. Step 4: Simplify right side
    37,167,021x = 6,404,431,806,957,636
  5. Step 5: Solve for x
    x = 6,404,431,806,957,636/37,167,021
  6. Step 6: Final answer
    x = 172,314,908.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.