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Finding the Third Proportional to 1,107,257,622 and 1,557,283,761

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Solution

The third proportional to 1,107,257,622 and 1,557,283,761 is: 2,190,215,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,257,622 : 1,557,283,761 = 1,557,283,761 : x
  2. Step 2: Convert to fraction form
    1,107,257,622/1,557,283,761 = 1,557,283,761/x
  3. Step 3: Cross multiply
    1,107,257,622x = 1,557,283,761 × 1,557,283,761
  4. Step 4: Simplify right side
    1,107,257,622x = 2,425,132,712,274,305,024
  5. Step 5: Solve for x
    x = 2,425,132,712,274,305,024/1,107,257,622
  6. Step 6: Final answer
    x = 2,190,215,415.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.