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Finding the Third Proportional to 6,727,005 and 14,350,923

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Solution

The third proportional to 6,727,005 and 14,350,923 is: 30,615,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727,005 : 14,350,923 = 14,350,923 : x
  2. Step 2: Convert to fraction form
    6,727,005/14,350,923 = 14,350,923/x
  3. Step 3: Cross multiply
    6,727,005x = 14,350,923 × 14,350,923
  4. Step 4: Simplify right side
    6,727,005x = 205,948,990,951,929
  5. Step 5: Solve for x
    x = 205,948,990,951,929/6,727,005
  6. Step 6: Final answer
    x = 30,615,257.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.