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Finding the Third Proportional to 8,253,211 and 18,100,743

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Solution

The third proportional to 8,253,211 and 18,100,743 is: 39,698,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253,211 : 18,100,743 = 18,100,743 : x
  2. Step 2: Convert to fraction form
    8,253,211/18,100,743 = 18,100,743/x
  3. Step 3: Cross multiply
    8,253,211x = 18,100,743 × 18,100,743
  4. Step 4: Simplify right side
    8,253,211x = 327,636,897,152,049
  5. Step 5: Solve for x
    x = 327,636,897,152,049/8,253,211
  6. Step 6: Final answer
    x = 39,698,112.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.