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Finding the Third Proportional to 451,227,767,529 and 682,645,058,652

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Solution

The third proportional to 451,227,767,529 and 682,645,058,652 is: 1,032,747,338,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,227,767,529 : 682,645,058,652 = 682,645,058,652 : x
  2. Step 2: Convert to fraction form
    451,227,767,529/682,645,058,652 = 682,645,058,652/x
  3. Step 3: Cross multiply
    451,227,767,529x = 682,645,058,652 × 682,645,058,652
  4. Step 4: Simplify right side
    451,227,767,529x = 466,004,276,101,992,541,061,120
  5. Step 5: Solve for x
    x = 466,004,276,101,992,541,061,120/451,227,767,529
  6. Step 6: Final answer
    x = 1,032,747,338,786.16

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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.