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Finding the Third Proportional to 2,342,016 and 5,140,224

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Solution

The third proportional to 2,342,016 and 5,140,224 is: 11,281,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342,016 : 5,140,224 = 5,140,224 : x
  2. Step 2: Convert to fraction form
    2,342,016/5,140,224 = 5,140,224/x
  3. Step 3: Cross multiply
    2,342,016x = 5,140,224 × 5,140,224
  4. Step 4: Simplify right side
    2,342,016x = 26,421,902,770,176
  5. Step 5: Solve for x
    x = 26,421,902,770,176/2,342,016
  6. Step 6: Final answer
    x = 11,281,691.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.