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Finding the Third Proportional to 3,099,714.75 and 6,568,175.25

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Solution

The third proportional to 3,099,714.75 and 6,568,175.25 is: 13,917,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099,714.75 : 6,568,175.25 = 6,568,175.25 : x
  2. Step 2: Convert to fraction form
    3,099,714.75/6,568,175.25 = 6,568,175.25/x
  3. Step 3: Cross multiply
    3,099,714.75x = 6,568,175.25 × 6,568,175.25
  4. Step 4: Simplify right side
    3,099,714.75x = 43,140,926,114,712.56
  5. Step 5: Solve for x
    x = 43,140,926,114,712.56/3,099,714.75
  6. Step 6: Final answer
    x = 13,917,708.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.