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Finding the Third Proportional to 37,972,340 and 82,844,102

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Solution

The third proportional to 37,972,340 and 82,844,102 is: 180,740,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,972,340 : 82,844,102 = 82,844,102 : x
  2. Step 2: Convert to fraction form
    37,972,340/82,844,102 = 82,844,102/x
  3. Step 3: Cross multiply
    37,972,340x = 82,844,102 × 82,844,102
  4. Step 4: Simplify right side
    37,972,340x = 6,863,145,236,186,404
  5. Step 5: Solve for x
    x = 6,863,145,236,186,404/37,972,340
  6. Step 6: Final answer
    x = 180,740,645.33

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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.