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Finding the Third Proportional to 37,024,560 and 80,417,448

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Solution

The third proportional to 37,024,560 and 80,417,448 is: 174,666,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,024,560 : 80,417,448 = 80,417,448 : x
  2. Step 2: Convert to fraction form
    37,024,560/80,417,448 = 80,417,448/x
  3. Step 3: Cross multiply
    37,024,560x = 80,417,448 × 80,417,448
  4. Step 4: Simplify right side
    37,024,560x = 6,466,965,942,832,704
  5. Step 5: Solve for x
    x = 6,466,965,942,832,704/37,024,560
  6. Step 6: Final answer
    x = 174,666,922.25

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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.