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Finding the Third Proportional to 888,415,917,924 and 1,353,440,197,782

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Solution

The third proportional to 888,415,917,924 and 1,353,440,197,782 is: 2,061,872,521,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    888,415,917,924 : 1,353,440,197,782 = 1,353,440,197,782 : x
  2. Step 2: Convert to fraction form
    888,415,917,924/1,353,440,197,782 = 1,353,440,197,782/x
  3. Step 3: Cross multiply
    888,415,917,924x = 1,353,440,197,782 × 1,353,440,197,782
  4. Step 4: Simplify right side
    888,415,917,924x = 1,831,800,368,972,179,265,552,384
  5. Step 5: Solve for x
    x = 1,831,800,368,972,179,265,552,384/888,415,917,924
  6. Step 6: Final answer
    x = 2,061,872,521,659.25

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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.