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Finding the Third Proportional to 7,768,236 and 17,067,372

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Solution

The third proportional to 7,768,236 and 17,067,372 is: 37,498,241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768,236 : 17,067,372 = 17,067,372 : x
  2. Step 2: Convert to fraction form
    7,768,236/17,067,372 = 17,067,372/x
  3. Step 3: Cross multiply
    7,768,236x = 17,067,372 × 17,067,372
  4. Step 4: Simplify right side
    7,768,236x = 291,295,186,986,384
  5. Step 5: Solve for x
    x = 291,295,186,986,384/7,768,236
  6. Step 6: Final answer
    x = 37,498,241.17

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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.