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Finding the Third Proportional to 35,512,086 and 82,972,254

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Solution

The third proportional to 35,512,086 and 82,972,254 is: 193,860,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512,086 : 82,972,254 = 82,972,254 : x
  2. Step 2: Convert to fraction form
    35,512,086/82,972,254 = 82,972,254/x
  3. Step 3: Cross multiply
    35,512,086x = 82,972,254 × 82,972,254
  4. Step 4: Simplify right side
    35,512,086x = 6,884,394,933,840,516
  5. Step 5: Solve for x
    x = 6,884,394,933,840,516/35,512,086
  6. Step 6: Final answer
    x = 193,860,617.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.