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Finding the Third Proportional to 888,415,918,416 and 1,353,440,198,520

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Solution

The third proportional to 888,415,918,416 and 1,353,440,198,520 is: 2,061,872,522,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    888,415,918,416 : 1,353,440,198,520 = 1,353,440,198,520 : x
  2. Step 2: Convert to fraction form
    888,415,918,416/1,353,440,198,520 = 1,353,440,198,520/x
  3. Step 3: Cross multiply
    888,415,918,416x = 1,353,440,198,520 × 1,353,440,198,520
  4. Step 4: Simplify right side
    888,415,918,416x = 1,831,800,370,969,857,138,622,464
  5. Step 5: Solve for x
    x = 1,831,800,370,969,857,138,622,464/888,415,918,416
  6. Step 6: Final answer
    x = 2,061,872,522,765.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.