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Finding the Third Proportional to 37,056,074 and 80,491,218

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Solution

The third proportional to 37,056,074 and 80,491,218 is: 174,838,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056,074 : 80,491,218 = 80,491,218 : x
  2. Step 2: Convert to fraction form
    37,056,074/80,491,218 = 80,491,218/x
  3. Step 3: Cross multiply
    37,056,074x = 80,491,218 × 80,491,218
  4. Step 4: Simplify right side
    37,056,074x = 6,478,836,175,123,524
  5. Step 5: Solve for x
    x = 6,478,836,175,123,524/37,056,074
  6. Step 6: Final answer
    x = 174,838,709.98

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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.