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Finding the Third Proportional to 6,660,948,858,524.80 and 8,987,184,004,302

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Solution

The third proportional to 6,660,948,858,524.80 and 8,987,184,004,302 is: 12,125,821,417,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660,948,858,524.80 : 8,987,184,004,302 = 8,987,184,004,302 : x
  2. Step 2: Convert to fraction form
    6,660,948,858,524.80/8,987,184,004,302 = 8,987,184,004,302/x
  3. Step 3: Cross multiply
    6,660,948,858,524.80x = 8,987,184,004,302 × 8,987,184,004,302
  4. Step 4: Simplify right side
    6,660,948,858,524.80x = 80,769,476,327,181,729,627,373,568
  5. Step 5: Solve for x
    x = 80,769,476,327,181,729,627,373,568/6,660,948,858,524.80
  6. Step 6: Final answer
    x = 12,125,821,417,141.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.