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Finding the Third Proportional to 2,337,454,224,000 and 5,026,687,270,956

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Solution

The third proportional to 2,337,454,224,000 and 5,026,687,270,956 is: 10,809,873,691,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337,454,224,000 : 5,026,687,270,956 = 5,026,687,270,956 : x
  2. Step 2: Convert to fraction form
    2,337,454,224,000/5,026,687,270,956 = 5,026,687,270,956/x
  3. Step 3: Cross multiply
    2,337,454,224,000x = 5,026,687,270,956 × 5,026,687,270,956
  4. Step 4: Simplify right side
    2,337,454,224,000x = 25,267,584,919,991,079,632,109,568
  5. Step 5: Solve for x
    x = 25,267,584,919,991,079,632,109,568/2,337,454,224,000
  6. Step 6: Final answer
    x = 10,809,873,691,024.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.