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Finding the Third Proportional to 36,836,474 and 80,208,096

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Solution

The third proportional to 36,836,474 and 80,208,096 is: 174,645,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,836,474 : 80,208,096 = 80,208,096 : x
  2. Step 2: Convert to fraction form
    36,836,474/80,208,096 = 80,208,096/x
  3. Step 3: Cross multiply
    36,836,474x = 80,208,096 × 80,208,096
  4. Step 4: Simplify right side
    36,836,474x = 6,433,338,663,945,216
  5. Step 5: Solve for x
    x = 6,433,338,663,945,216/36,836,474
  6. Step 6: Final answer
    x = 174,645,886.68

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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.