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Finding the Third Proportional to 37,172,986 and 80,524,076

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Solution

The third proportional to 37,172,986 and 80,524,076 is: 174,431,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,172,986 : 80,524,076 = 80,524,076 : x
  2. Step 2: Convert to fraction form
    37,172,986/80,524,076 = 80,524,076/x
  3. Step 3: Cross multiply
    37,172,986x = 80,524,076 × 80,524,076
  4. Step 4: Simplify right side
    37,172,986x = 6,484,126,815,653,776
  5. Step 5: Solve for x
    x = 6,484,126,815,653,776/37,172,986
  6. Step 6: Final answer
    x = 174,431,153.19

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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.