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Finding the Third Proportional to 888,415,917,954 and 1,353,440,197,827

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Solution

The third proportional to 888,415,917,954 and 1,353,440,197,827 is: 2,061,872,521,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    888,415,917,954 : 1,353,440,197,827 = 1,353,440,197,827 : x
  2. Step 2: Convert to fraction form
    888,415,917,954/1,353,440,197,827 = 1,353,440,197,827/x
  3. Step 3: Cross multiply
    888,415,917,954x = 1,353,440,197,827 × 1,353,440,197,827
  4. Step 4: Simplify right side
    888,415,917,954x = 1,831,800,369,093,988,833,034,240
  5. Step 5: Solve for x
    x = 1,831,800,369,093,988,833,034,240/888,415,917,954
  6. Step 6: Final answer
    x = 2,061,872,521,726.74

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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.