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Finding the Third Proportional to 11,586,827 and 17,529,367

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Solution

The third proportional to 11,586,827 and 17,529,367 is: 26,519,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586,827 : 17,529,367 = 17,529,367 : x
  2. Step 2: Convert to fraction form
    11,586,827/17,529,367 = 17,529,367/x
  3. Step 3: Cross multiply
    11,586,827x = 17,529,367 × 17,529,367
  4. Step 4: Simplify right side
    11,586,827x = 307,278,707,420,689
  5. Step 5: Solve for x
    x = 307,278,707,420,689/11,586,827
  6. Step 6: Final answer
    x = 26,519,659.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.