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Finding the Third Proportional to 2,337,454,224,004 and 5,026,687,270,964

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Solution

The third proportional to 2,337,454,224,004 and 5,026,687,270,964 is: 10,809,873,691,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337,454,224,004 : 5,026,687,270,964 = 5,026,687,270,964 : x
  2. Step 2: Convert to fraction form
    2,337,454,224,004/5,026,687,270,964 = 5,026,687,270,964/x
  3. Step 3: Cross multiply
    2,337,454,224,004x = 5,026,687,270,964 × 5,026,687,270,964
  4. Step 4: Simplify right side
    2,337,454,224,004x = 25,267,584,920,071,507,189,694,464
  5. Step 5: Solve for x
    x = 25,267,584,920,071,507,189,694,464/2,337,454,224,004
  6. Step 6: Final answer
    x = 10,809,873,691,040.15

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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.