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Finding the Third Proportional to 5,749,521 and 11,667,995

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Solution

The third proportional to 5,749,521 and 11,667,995 is: 23,678,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749,521 : 11,667,995 = 11,667,995 : x
  2. Step 2: Convert to fraction form
    5,749,521/11,667,995 = 11,667,995/x
  3. Step 3: Cross multiply
    5,749,521x = 11,667,995 × 11,667,995
  4. Step 4: Simplify right side
    5,749,521x = 136,142,107,320,025
  5. Step 5: Solve for x
    x = 136,142,107,320,025/5,749,521
  6. Step 6: Final answer
    x = 23,678,860.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.