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Finding the Third Proportional to 37,008,327 and 80,194,657.50

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Solution

The third proportional to 37,008,327 and 80,194,657.50 is: 173,776,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,008,327 : 80,194,657.50 = 80,194,657.50 : x
  2. Step 2: Convert to fraction form
    37,008,327/80,194,657.50 = 80,194,657.50/x
  3. Step 3: Cross multiply
    37,008,327x = 80,194,657.50 × 80,194,657.50
  4. Step 4: Simplify right side
    37,008,327x = 6,431,183,091,542,306
  5. Step 5: Solve for x
    x = 6,431,183,091,542,306/37,008,327
  6. Step 6: Final answer
    x = 173,776,650.09

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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.