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Finding the Third Proportional to 501,373,138,804 and 1,101,242,381,404

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Solution

The third proportional to 501,373,138,804 and 1,101,242,381,404 is: 2,418,826,795,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,373,138,804 : 1,101,242,381,404 = 1,101,242,381,404 : x
  2. Step 2: Convert to fraction form
    501,373,138,804/1,101,242,381,404 = 1,101,242,381,404/x
  3. Step 3: Cross multiply
    501,373,138,804x = 1,101,242,381,404 × 1,101,242,381,404
  4. Step 4: Simplify right side
    501,373,138,804x = 1,212,734,782,600,353,136,246,784
  5. Step 5: Solve for x
    x = 1,212,734,782,600,353,136,246,784/501,373,138,804
  6. Step 6: Final answer
    x = 2,418,826,795,335.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.