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Finding the Third Proportional to 37,008,674 and 80,195,314

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Solution

The third proportional to 37,008,674 and 80,195,314 is: 173,777,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,008,674 : 80,195,314 = 80,195,314 : x
  2. Step 2: Convert to fraction form
    37,008,674/80,195,314 = 80,195,314/x
  3. Step 3: Cross multiply
    37,008,674x = 80,195,314 × 80,195,314
  4. Step 4: Simplify right side
    37,008,674x = 6,431,288,387,558,596
  5. Step 5: Solve for x
    x = 6,431,288,387,558,596/37,008,674
  6. Step 6: Final answer
    x = 173,777,865.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.