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Finding the Third Proportional to 451,227,767,535 and 682,645,058,661

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Solution

The third proportional to 451,227,767,535 and 682,645,058,661 is: 1,032,747,338,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,227,767,535 : 682,645,058,661 = 682,645,058,661 : x
  2. Step 2: Convert to fraction form
    451,227,767,535/682,645,058,661 = 682,645,058,661/x
  3. Step 3: Cross multiply
    451,227,767,535x = 682,645,058,661 × 682,645,058,661
  4. Step 4: Simplify right side
    451,227,767,535x = 466,004,276,114,280,106,950,656
  5. Step 5: Solve for x
    x = 466,004,276,114,280,106,950,656/451,227,767,535
  6. Step 6: Final answer
    x = 1,032,747,338,799.65

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