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Finding the Third Proportional to 36,262,649 and 78,836,251

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Solution

The third proportional to 36,262,649 and 78,836,251 is: 171,392,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,262,649 : 78,836,251 = 78,836,251 : x
  2. Step 2: Convert to fraction form
    36,262,649/78,836,251 = 78,836,251/x
  3. Step 3: Cross multiply
    36,262,649x = 78,836,251 × 78,836,251
  4. Step 4: Simplify right side
    36,262,649x = 6,215,154,471,735,001
  5. Step 5: Solve for x
    x = 6,215,154,471,735,001/36,262,649
  6. Step 6: Final answer
    x = 171,392,731.73

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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.