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Finding the Third Proportional to 37,008,595.50 and 80,195,189.25

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Solution

The third proportional to 37,008,595.50 and 80,195,189.25 is: 173,777,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,008,595.50 : 80,195,189.25 = 80,195,189.25 : x
  2. Step 2: Convert to fraction form
    37,008,595.50/80,195,189.25 = 80,195,189.25/x
  3. Step 3: Cross multiply
    37,008,595.50x = 80,195,189.25 × 80,195,189.25
  4. Step 4: Simplify right side
    37,008,595.50x = 6,431,268,378,843,316
  5. Step 5: Solve for x
    x = 6,431,268,378,843,316/37,008,595.50
  6. Step 6: Final answer
    x = 173,777,693.86

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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.