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Finding the Third Proportional to 37,811,128 and 82,466,288

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Solution

The third proportional to 37,811,128 and 82,466,288 is: 179,859,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,811,128 : 82,466,288 = 82,466,288 : x
  2. Step 2: Convert to fraction form
    37,811,128/82,466,288 = 82,466,288/x
  3. Step 3: Cross multiply
    37,811,128x = 82,466,288 × 82,466,288
  4. Step 4: Simplify right side
    37,811,128x = 6,800,688,656,498,944
  5. Step 5: Solve for x
    x = 6,800,688,656,498,944/37,811,128
  6. Step 6: Final answer
    x = 179,859,449.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.