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Finding the Third Proportional to 8,922,568,678 and 13,348,476,687

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Solution

The third proportional to 8,922,568,678 and 13,348,476,687 is: 19,969,790,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922,568,678 : 13,348,476,687 = 13,348,476,687 : x
  2. Step 2: Convert to fraction form
    8,922,568,678/13,348,476,687 = 13,348,476,687/x
  3. Step 3: Cross multiply
    8,922,568,678x = 13,348,476,687 × 13,348,476,687
  4. Step 4: Simplify right side
    8,922,568,678x = 178,181,829,863,382,482,944
  5. Step 5: Solve for x
    x = 178,181,829,863,382,482,944/8,922,568,678
  6. Step 6: Final answer
    x = 19,969,790,796.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.