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Finding the Third Proportional to 7,768,228 and 17,067,356

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Solution

The third proportional to 7,768,228 and 17,067,356 is: 37,498,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768,228 : 17,067,356 = 17,067,356 : x
  2. Step 2: Convert to fraction form
    7,768,228/17,067,356 = 17,067,356/x
  3. Step 3: Cross multiply
    7,768,228x = 17,067,356 × 17,067,356
  4. Step 4: Simplify right side
    7,768,228x = 291,294,640,830,736
  5. Step 5: Solve for x
    x = 291,294,640,830,736/7,768,228
  6. Step 6: Final answer
    x = 37,498,209.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.