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Finding the Third Proportional to 7,768,238 and 17,067,376

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Solution

The third proportional to 7,768,238 and 17,067,376 is: 37,498,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768,238 : 17,067,376 = 17,067,376 : x
  2. Step 2: Convert to fraction form
    7,768,238/17,067,376 = 17,067,376/x
  3. Step 3: Cross multiply
    7,768,238x = 17,067,376 × 17,067,376
  4. Step 4: Simplify right side
    7,768,238x = 291,295,323,525,376
  5. Step 5: Solve for x
    x = 291,295,323,525,376/7,768,238
  6. Step 6: Final answer
    x = 37,498,249.09

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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.