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Finding the Third Proportional to 37,056,096 and 80,491,266

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Solution

The third proportional to 37,056,096 and 80,491,266 is: 174,838,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056,096 : 80,491,266 = 80,491,266 : x
  2. Step 2: Convert to fraction form
    37,056,096/80,491,266 = 80,491,266/x
  3. Step 3: Cross multiply
    37,056,096x = 80,491,266 × 80,491,266
  4. Step 4: Simplify right side
    37,056,096x = 6,478,843,902,282,756
  5. Step 5: Solve for x
    x = 6,478,843,902,282,756/37,056,096
  6. Step 6: Final answer
    x = 174,838,814.71

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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.