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Finding the Third Proportional to 5,978,539,589.01 and 12,844,313,698.27

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Solution

The third proportional to 5,978,539,589.01 and 12,844,313,698.27 is: 27,594,764,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978,539,589.01 : 12,844,313,698.27 = 12,844,313,698.27 : x
  2. Step 2: Convert to fraction form
    5,978,539,589.01/12,844,313,698.27 = 12,844,313,698.27/x
  3. Step 3: Cross multiply
    5,978,539,589.01x = 12,844,313,698.27 × 12,844,313,698.27
  4. Step 4: Simplify right side
    5,978,539,589.01x = 164,976,394,379,592,040,448
  5. Step 5: Solve for x
    x = 164,976,394,379,592,040,448/5,978,539,589.01
  6. Step 6: Final answer
    x = 27,594,764,895.91

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