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Finding the Third Proportional to 9,198,413 and 19,350,250

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Solution

The third proportional to 9,198,413 and 19,350,250 is: 40,706,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198,413 : 19,350,250 = 19,350,250 : x
  2. Step 2: Convert to fraction form
    9,198,413/19,350,250 = 19,350,250/x
  3. Step 3: Cross multiply
    9,198,413x = 19,350,250 × 19,350,250
  4. Step 4: Simplify right side
    9,198,413x = 374,432,175,062,500
  5. Step 5: Solve for x
    x = 374,432,175,062,500/9,198,413
  6. Step 6: Final answer
    x = 40,706,171.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.