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Finding the Third Proportional to 5,168,864 and 11,364,592

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Solution

The third proportional to 5,168,864 and 11,364,592 is: 24,986,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168,864 : 11,364,592 = 11,364,592 : x
  2. Step 2: Convert to fraction form
    5,168,864/11,364,592 = 11,364,592/x
  3. Step 3: Cross multiply
    5,168,864x = 11,364,592 × 11,364,592
  4. Step 4: Simplify right side
    5,168,864x = 129,153,951,326,464
  5. Step 5: Solve for x
    x = 129,153,951,326,464/5,168,864
  6. Step 6: Final answer
    x = 24,986,912.27

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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.