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Finding the Third Proportional to 5,154,042 and 10,177,987

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Solution

The third proportional to 5,154,042 and 10,177,987 is: 20,099,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154,042 : 10,177,987 = 10,177,987 : x
  2. Step 2: Convert to fraction form
    5,154,042/10,177,987 = 10,177,987/x
  3. Step 3: Cross multiply
    5,154,042x = 10,177,987 × 10,177,987
  4. Step 4: Simplify right side
    5,154,042x = 103,591,419,372,169
  5. Step 5: Solve for x
    x = 103,591,419,372,169/5,154,042
  6. Step 6: Final answer
    x = 20,099,063.87

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.