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Finding the Third Proportional to 37,667,112.75 and 80,715,062.25

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Solution

The third proportional to 37,667,112.75 and 80,715,062.25 is: 172,960,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,667,112.75 : 80,715,062.25 = 80,715,062.25 : x
  2. Step 2: Convert to fraction form
    37,667,112.75/80,715,062.25 = 80,715,062.25/x
  3. Step 3: Cross multiply
    37,667,112.75x = 80,715,062.25 × 80,715,062.25
  4. Step 4: Simplify right side
    37,667,112.75x = 6,514,921,274,021,375
  5. Step 5: Solve for x
    x = 6,514,921,274,021,375/37,667,112.75
  6. Step 6: Final answer
    x = 172,960,463.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.