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Finding the Third Proportional to 2,396,134 and 5,157,635

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Solution

The third proportional to 2,396,134 and 5,157,635 is: 11,101,715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396,134 : 5,157,635 = 5,157,635 : x
  2. Step 2: Convert to fraction form
    2,396,134/5,157,635 = 5,157,635/x
  3. Step 3: Cross multiply
    2,396,134x = 5,157,635 × 5,157,635
  4. Step 4: Simplify right side
    2,396,134x = 26,601,198,793,225
  5. Step 5: Solve for x
    x = 26,601,198,793,225/2,396,134
  6. Step 6: Final answer
    x = 11,101,715.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.