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Finding the Third Proportional to 8,723,856 and 13,242,744

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Solution

The third proportional to 8,723,856 and 13,242,744 is: 20,102,380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723,856 : 13,242,744 = 13,242,744 : x
  2. Step 2: Convert to fraction form
    8,723,856/13,242,744 = 13,242,744/x
  3. Step 3: Cross multiply
    8,723,856x = 13,242,744 × 13,242,744
  4. Step 4: Simplify right side
    8,723,856x = 175,370,268,649,536
  5. Step 5: Solve for x
    x = 175,370,268,649,536/8,723,856
  6. Step 6: Final answer
    x = 20,102,380.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.