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Finding the Third Proportional to 11,536,361 and 17,857,233

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Solution

The third proportional to 11,536,361 and 17,857,233 is: 27,641,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536,361 : 17,857,233 = 17,857,233 : x
  2. Step 2: Convert to fraction form
    11,536,361/17,857,233 = 17,857,233/x
  3. Step 3: Cross multiply
    11,536,361x = 17,857,233 × 17,857,233
  4. Step 4: Simplify right side
    11,536,361x = 318,880,770,416,289
  5. Step 5: Solve for x
    x = 318,880,770,416,289/11,536,361
  6. Step 6: Final answer
    x = 27,641,365.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.