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Finding the Third Proportional to 501,373,138,808 and 1,101,242,381,412

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Solution

The third proportional to 501,373,138,808 and 1,101,242,381,412 is: 2,418,826,795,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,373,138,808 : 1,101,242,381,412 = 1,101,242,381,412 : x
  2. Step 2: Convert to fraction form
    501,373,138,808/1,101,242,381,412 = 1,101,242,381,412/x
  3. Step 3: Cross multiply
    501,373,138,808x = 1,101,242,381,412 × 1,101,242,381,412
  4. Step 4: Simplify right side
    501,373,138,808x = 1,212,734,782,617,972,971,143,168
  5. Step 5: Solve for x
    x = 1,212,734,782,617,972,971,143,168/501,373,138,808
  6. Step 6: Final answer
    x = 2,418,826,795,350.89

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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.