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Finding the Third Proportional to 3,939,164 and 8,568,511

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Solution

The third proportional to 3,939,164 and 8,568,511 is: 18,638,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939,164 : 8,568,511 = 8,568,511 : x
  2. Step 2: Convert to fraction form
    3,939,164/8,568,511 = 8,568,511/x
  3. Step 3: Cross multiply
    3,939,164x = 8,568,511 × 8,568,511
  4. Step 4: Simplify right side
    3,939,164x = 73,419,380,757,121
  5. Step 5: Solve for x
    x = 73,419,380,757,121/3,939,164
  6. Step 6: Final answer
    x = 18,638,315.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.