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Finding the Third Proportional to 888,415,917,926 and 1,353,440,197,785

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Solution

The third proportional to 888,415,917,926 and 1,353,440,197,785 is: 2,061,872,521,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    888,415,917,926 : 1,353,440,197,785 = 1,353,440,197,785 : x
  2. Step 2: Convert to fraction form
    888,415,917,926/1,353,440,197,785 = 1,353,440,197,785/x
  3. Step 3: Cross multiply
    888,415,917,926x = 1,353,440,197,785 × 1,353,440,197,785
  4. Step 4: Simplify right side
    888,415,917,926x = 1,831,800,368,980,299,974,967,296
  5. Step 5: Solve for x
    x = 1,831,800,368,980,299,974,967,296/888,415,917,926
  6. Step 6: Final answer
    x = 2,061,872,521,663.75

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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.