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Finding the Third Proportional to 1,749,150,891 and 2,682,188,694

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Solution

The third proportional to 1,749,150,891 and 2,682,188,694 is: 4,112,930,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,150,891 : 2,682,188,694 = 2,682,188,694 : x
  2. Step 2: Convert to fraction form
    1,749,150,891/2,682,188,694 = 2,682,188,694/x
  3. Step 3: Cross multiply
    1,749,150,891x = 2,682,188,694 × 2,682,188,694
  4. Step 4: Simplify right side
    1,749,150,891x = 7,194,136,190,221,425,664
  5. Step 5: Solve for x
    x = 7,194,136,190,221,425,664/1,749,150,891
  6. Step 6: Final answer
    x = 4,112,930,580.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.