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Finding the Third Proportional to 49,407,416 and 108,866,608

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Solution

The third proportional to 49,407,416 and 108,866,608 is: 239,881,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,407,416 : 108,866,608 = 108,866,608 : x
  2. Step 2: Convert to fraction form
    49,407,416/108,866,608 = 108,866,608/x
  3. Step 3: Cross multiply
    49,407,416x = 108,866,608 × 108,866,608
  4. Step 4: Simplify right side
    49,407,416x = 11,851,938,337,425,664
  5. Step 5: Solve for x
    x = 11,851,938,337,425,664/49,407,416
  6. Step 6: Final answer
    x = 239,881,768.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.