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Finding the Third Proportional to 5,234,256 and 11,270,304

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Solution

The third proportional to 5,234,256 and 11,270,304 is: 24,267,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234,256 : 11,270,304 = 11,270,304 : x
  2. Step 2: Convert to fraction form
    5,234,256/11,270,304 = 11,270,304/x
  3. Step 3: Cross multiply
    5,234,256x = 11,270,304 × 11,270,304
  4. Step 4: Simplify right side
    5,234,256x = 127,019,752,252,416
  5. Step 5: Solve for x
    x = 127,019,752,252,416/5,234,256
  6. Step 6: Final answer
    x = 24,267,011.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.