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Finding the Third Proportional to 11,586,834 and 17,529,381

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Solution

The third proportional to 11,586,834 and 17,529,381 is: 26,519,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586,834 : 17,529,381 = 17,529,381 : x
  2. Step 2: Convert to fraction form
    11,586,834/17,529,381 = 17,529,381/x
  3. Step 3: Cross multiply
    11,586,834x = 17,529,381 × 17,529,381
  4. Step 4: Simplify right side
    11,586,834x = 307,279,198,243,161
  5. Step 5: Solve for x
    x = 307,279,198,243,161/11,586,834
  6. Step 6: Final answer
    x = 26,519,685.90

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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.