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Finding the Third Proportional to 3,397,437,067.50 and 7,382,956,863.09

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Solution

The third proportional to 3,397,437,067.50 and 7,382,956,863.09 is: 16,043,873,943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397,437,067.50 : 7,382,956,863.09 = 7,382,956,863.09 : x
  2. Step 2: Convert to fraction form
    3,397,437,067.50/7,382,956,863.09 = 7,382,956,863.09/x
  3. Step 3: Cross multiply
    3,397,437,067.50x = 7,382,956,863.09 × 7,382,956,863.09
  4. Step 4: Simplify right side
    3,397,437,067.50x = 54,508,052,042,300,891,136
  5. Step 5: Solve for x
    x = 54,508,052,042,300,891,136/3,397,437,067.50
  6. Step 6: Final answer
    x = 16,043,873,943.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.