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Finding the Third Proportional to 5,757,305.98 and 12,666,067.45

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Solution

The third proportional to 5,757,305.98 and 12,666,067.45 is: 27,865,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757,305.98 : 12,666,067.45 = 12,666,067.45 : x
  2. Step 2: Convert to fraction form
    5,757,305.98/12,666,067.45 = 12,666,067.45/x
  3. Step 3: Cross multiply
    5,757,305.98x = 12,666,067.45 × 12,666,067.45
  4. Step 4: Simplify right side
    5,757,305.98x = 160,429,264,727,112.44
  5. Step 5: Solve for x
    x = 160,429,264,727,112.44/5,757,305.98
  6. Step 6: Final answer
    x = 27,865,335.87

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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.