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Finding the Third Proportional to 7,975,704 and 17,297,520

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Solution

The third proportional to 7,975,704 and 17,297,520 is: 37,514,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,704 : 17,297,520 = 17,297,520 : x
  2. Step 2: Convert to fraction form
    7,975,704/17,297,520 = 17,297,520/x
  3. Step 3: Cross multiply
    7,975,704x = 17,297,520 × 17,297,520
  4. Step 4: Simplify right side
    7,975,704x = 299,204,198,150,400
  5. Step 5: Solve for x
    x = 299,204,198,150,400/7,975,704
  6. Step 6: Final answer
    x = 37,514,456.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.