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Finding the Third Proportional to 3,459,361,896 and 5,166,373,920

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Solution

The third proportional to 3,459,361,896 and 5,166,373,920 is: 7,715,706,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459,361,896 : 5,166,373,920 = 5,166,373,920 : x
  2. Step 2: Convert to fraction form
    3,459,361,896/5,166,373,920 = 5,166,373,920/x
  3. Step 3: Cross multiply
    3,459,361,896x = 5,166,373,920 × 5,166,373,920
  4. Step 4: Simplify right side
    3,459,361,896x = 26,691,419,481,256,165,376
  5. Step 5: Solve for x
    x = 26,691,419,481,256,165,376/3,459,361,896
  6. Step 6: Final answer
    x = 7,715,706,041.66

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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.