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Finding the Third Proportional to 451,227,767,510 and 682,645,058,625

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Solution

The third proportional to 451,227,767,510 and 682,645,058,625 is: 1,032,747,338,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,227,767,510 : 682,645,058,625 = 682,645,058,625 : x
  2. Step 2: Convert to fraction form
    451,227,767,510/682,645,058,625 = 682,645,058,625/x
  3. Step 3: Cross multiply
    451,227,767,510x = 682,645,058,625 × 682,645,058,625
  4. Step 4: Simplify right side
    451,227,767,510x = 466,004,276,065,129,709,174,784
  5. Step 5: Solve for x
    x = 466,004,276,065,129,709,174,784/451,227,767,510
  6. Step 6: Final answer
    x = 1,032,747,338,747.95

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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.