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Finding the Third Proportional to 10,150,098 and 15,740,540.25

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Solution

The third proportional to 10,150,098 and 15,740,540.25 is: 24,410,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150,098 : 15,740,540.25 = 15,740,540.25 : x
  2. Step 2: Convert to fraction form
    10,150,098/15,740,540.25 = 15,740,540.25/x
  3. Step 3: Cross multiply
    10,150,098x = 15,740,540.25 × 15,740,540.25
  4. Step 4: Simplify right side
    10,150,098x = 247,764,607,361,870.06
  5. Step 5: Solve for x
    x = 247,764,607,361,870.06/10,150,098
  6. Step 6: Final answer
    x = 24,410,070.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.