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Finding the Third Proportional to 11,536,427 and 17,857,337

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Solution

The third proportional to 11,536,427 and 17,857,337 is: 27,641,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536,427 : 17,857,337 = 17,857,337 : x
  2. Step 2: Convert to fraction form
    11,536,427/17,857,337 = 17,857,337/x
  3. Step 3: Cross multiply
    11,536,427x = 17,857,337 × 17,857,337
  4. Step 4: Simplify right side
    11,536,427x = 318,884,484,731,569
  5. Step 5: Solve for x
    x = 318,884,484,731,569/11,536,427
  6. Step 6: Final answer
    x = 27,641,529.28

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Why These Related Problems?

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