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Finding the Third Proportional to 3,459,361,894 and 5,166,373,917

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Solution

The third proportional to 3,459,361,894 and 5,166,373,917 is: 7,715,706,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459,361,894 : 5,166,373,917 = 5,166,373,917 : x
  2. Step 2: Convert to fraction form
    3,459,361,894/5,166,373,917 = 5,166,373,917/x
  3. Step 3: Cross multiply
    3,459,361,894x = 5,166,373,917 × 5,166,373,917
  4. Step 4: Simplify right side
    3,459,361,894x = 26,691,419,450,257,924,096
  5. Step 5: Solve for x
    x = 26,691,419,450,257,924,096/3,459,361,894
  6. Step 6: Final answer
    x = 7,715,706,037.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.