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Finding the Third Proportional to 17,475,625 and 26,213,440

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Solution

The third proportional to 17,475,625 and 26,213,440 is: 39,320,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,475,625 : 26,213,440 = 26,213,440 : x
  2. Step 2: Convert to fraction form
    17,475,625/26,213,440 = 26,213,440/x
  3. Step 3: Cross multiply
    17,475,625x = 26,213,440 × 26,213,440
  4. Step 4: Simplify right side
    17,475,625x = 687,144,436,633,600
  5. Step 5: Solve for x
    x = 687,144,436,633,600/17,475,625
  6. Step 6: Final answer
    x = 39,320,163.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.