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Finding the Third Proportional to 17,649,108 and 38,423,448

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Solution

The third proportional to 17,649,108 and 38,423,448 is: 83,650,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649,108 : 38,423,448 = 38,423,448 : x
  2. Step 2: Convert to fraction form
    17,649,108/38,423,448 = 38,423,448/x
  3. Step 3: Cross multiply
    17,649,108x = 38,423,448 × 38,423,448
  4. Step 4: Simplify right side
    17,649,108x = 1,476,361,356,208,704
  5. Step 5: Solve for x
    x = 1,476,361,356,208,704/17,649,108
  6. Step 6: Final answer
    x = 83,650,763.33

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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.