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Finding the Third Proportional to 37,172,983.50 and 80,524,071.56

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Solution

The third proportional to 37,172,983.50 and 80,524,071.56 is: 174,431,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,172,983.50 : 80,524,071.56 = 80,524,071.56 : x
  2. Step 2: Convert to fraction form
    37,172,983.50/80,524,071.56 = 80,524,071.56/x
  3. Step 3: Cross multiply
    37,172,983.50x = 80,524,071.56 × 80,524,071.56
  4. Step 4: Simplify right side
    37,172,983.50x = 6,484,126,101,002,621
  5. Step 5: Solve for x
    x = 6,484,126,101,002,621/37,172,983.50
  6. Step 6: Final answer
    x = 174,431,145.70

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