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Finding the Third Proportional to 888,415,918,422 and 1,353,440,198,529

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Solution

The third proportional to 888,415,918,422 and 1,353,440,198,529 is: 2,061,872,522,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    888,415,918,422 : 1,353,440,198,529 = 1,353,440,198,529 : x
  2. Step 2: Convert to fraction form
    888,415,918,422/1,353,440,198,529 = 1,353,440,198,529/x
  3. Step 3: Cross multiply
    888,415,918,422x = 1,353,440,198,529 × 1,353,440,198,529
  4. Step 4: Simplify right side
    888,415,918,422x = 1,831,800,370,994,218,998,431,744
  5. Step 5: Solve for x
    x = 1,831,800,370,994,218,998,431,744/888,415,918,422
  6. Step 6: Final answer
    x = 2,061,872,522,779.48

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