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Finding the Third Proportional to 451,227,767,511 and 682,645,058,626.50

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Solution

The third proportional to 451,227,767,511 and 682,645,058,626.50 is: 1,032,747,338,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,227,767,511 : 682,645,058,626.50 = 682,645,058,626.50 : x
  2. Step 2: Convert to fraction form
    451,227,767,511/682,645,058,626.50 = 682,645,058,626.50/x
  3. Step 3: Cross multiply
    451,227,767,511x = 682,645,058,626.50 × 682,645,058,626.50
  4. Step 4: Simplify right side
    451,227,767,511x = 466,004,276,067,177,603,268,608
  5. Step 5: Solve for x
    x = 466,004,276,067,177,603,268,608/451,227,767,511
  6. Step 6: Final answer
    x = 1,032,747,338,750.20

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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.