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Finding the Third Proportional to 6,488,544 and 13,388,352

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Solution

The third proportional to 6,488,544 and 13,388,352 is: 27,625,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488,544 : 13,388,352 = 13,388,352 : x
  2. Step 2: Convert to fraction form
    6,488,544/13,388,352 = 13,388,352/x
  3. Step 3: Cross multiply
    6,488,544x = 13,388,352 × 13,388,352
  4. Step 4: Simplify right side
    6,488,544x = 179,247,969,275,904
  5. Step 5: Solve for x
    x = 179,247,969,275,904/6,488,544
  6. Step 6: Final answer
    x = 27,625,299.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.