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Finding the Third Proportional to 501,373,138,797 and 1,101,242,381,391

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Solution

The third proportional to 501,373,138,797 and 1,101,242,381,391 is: 2,418,826,795,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,373,138,797 : 1,101,242,381,391 = 1,101,242,381,391 : x
  2. Step 2: Convert to fraction form
    501,373,138,797/1,101,242,381,391 = 1,101,242,381,391/x
  3. Step 3: Cross multiply
    501,373,138,797x = 1,101,242,381,391 × 1,101,242,381,391
  4. Step 4: Simplify right side
    501,373,138,797x = 1,212,734,782,571,720,736,768,000
  5. Step 5: Solve for x
    x = 1,212,734,782,571,720,736,768,000/501,373,138,797
  6. Step 6: Final answer
    x = 2,418,826,795,311.71

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Why These Related Problems?

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