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Finding the Third Proportional to 451,227,767,517 and 682,645,058,635

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Solution

The third proportional to 451,227,767,517 and 682,645,058,635 is: 1,032,747,338,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,227,767,517 : 682,645,058,635 = 682,645,058,635 : x
  2. Step 2: Convert to fraction form
    451,227,767,517/682,645,058,635 = 682,645,058,635/x
  3. Step 3: Cross multiply
    451,227,767,517x = 682,645,058,635 × 682,645,058,635
  4. Step 4: Simplify right side
    451,227,767,517x = 466,004,276,078,782,604,902,400
  5. Step 5: Solve for x
    x = 466,004,276,078,782,604,902,400/451,227,767,517
  6. Step 6: Final answer
    x = 1,032,747,338,762.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.