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Finding the Third Proportional to 37,855,536.75 and 82,171,791

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Solution

The third proportional to 37,855,536.75 and 82,171,791 is: 178,367,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,855,536.75 : 82,171,791 = 82,171,791 : x
  2. Step 2: Convert to fraction form
    37,855,536.75/82,171,791 = 82,171,791/x
  3. Step 3: Cross multiply
    37,855,536.75x = 82,171,791 × 82,171,791
  4. Step 4: Simplify right side
    37,855,536.75x = 6,752,203,236,147,681
  5. Step 5: Solve for x
    x = 6,752,203,236,147,681/37,855,536.75
  6. Step 6: Final answer
    x = 178,367,652.81

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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.