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Finding the Third Proportional to 5,757,723 and 12,223,926

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Solution

The third proportional to 5,757,723 and 12,223,926 is: 25,951,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757,723 : 12,223,926 = 12,223,926 : x
  2. Step 2: Convert to fraction form
    5,757,723/12,223,926 = 12,223,926/x
  3. Step 3: Cross multiply
    5,757,723x = 12,223,926 × 12,223,926
  4. Step 4: Simplify right side
    5,757,723x = 149,424,366,853,476
  5. Step 5: Solve for x
    x = 149,424,366,853,476/5,757,723
  6. Step 6: Final answer
    x = 25,951,989.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.