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Finding the Third Proportional to 5,530,589,950.13 and 8,085,915,902.25

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Solution

The third proportional to 5,530,589,950.13 and 8,085,915,902.25 is: 11,821,891,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530,589,950.13 : 8,085,915,902.25 = 8,085,915,902.25 : x
  2. Step 2: Convert to fraction form
    5,530,589,950.13/8,085,915,902.25 = 8,085,915,902.25/x
  3. Step 3: Cross multiply
    5,530,589,950.13x = 8,085,915,902.25 × 8,085,915,902.25
  4. Step 4: Simplify right side
    5,530,589,950.13x = 65,382,035,978,259,431,424
  5. Step 5: Solve for x
    x = 65,382,035,978,259,431,424/5,530,589,950.13
  6. Step 6: Final answer
    x = 11,821,891,799.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.