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Finding the Third Proportional to 3,939,196 and 8,568,569

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Solution

The third proportional to 3,939,196 and 8,568,569 is: 18,638,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939,196 : 8,568,569 = 8,568,569 : x
  2. Step 2: Convert to fraction form
    3,939,196/8,568,569 = 8,568,569/x
  3. Step 3: Cross multiply
    3,939,196x = 8,568,569 × 8,568,569
  4. Step 4: Simplify right side
    3,939,196x = 73,420,374,707,761
  5. Step 5: Solve for x
    x = 73,420,374,707,761/3,939,196
  6. Step 6: Final answer
    x = 18,638,416.24

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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.