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Finding the Third Proportional to 2,687,498,508 and 4,172,743,962

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Solution

The third proportional to 2,687,498,508 and 4,172,743,962 is: 6,478,809,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687,498,508 : 4,172,743,962 = 4,172,743,962 : x
  2. Step 2: Convert to fraction form
    2,687,498,508/4,172,743,962 = 4,172,743,962/x
  3. Step 3: Cross multiply
    2,687,498,508x = 4,172,743,962 × 4,172,743,962
  4. Step 4: Simplify right side
    2,687,498,508x = 17,411,792,172,407,457,792
  5. Step 5: Solve for x
    x = 17,411,792,172,407,457,792/2,687,498,508
  6. Step 6: Final answer
    x = 6,478,809,986.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.