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Finding the Third Proportional to 3,105,438 and 6,757,625

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Solution

The third proportional to 3,105,438 and 6,757,625 is: 14,705,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,438 : 6,757,625 = 6,757,625 : x
  2. Step 2: Convert to fraction form
    3,105,438/6,757,625 = 6,757,625/x
  3. Step 3: Cross multiply
    3,105,438x = 6,757,625 × 6,757,625
  4. Step 4: Simplify right side
    3,105,438x = 45,665,495,640,625
  5. Step 5: Solve for x
    x = 45,665,495,640,625/3,105,438
  6. Step 6: Final answer
    x = 14,705,009.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.