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Finding the Third Proportional to 3,029,814 and 6,479,529

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Solution

The third proportional to 3,029,814 and 6,479,529 is: 13,857,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,814 : 6,479,529 = 6,479,529 : x
  2. Step 2: Convert to fraction form
    3,029,814/6,479,529 = 6,479,529/x
  3. Step 3: Cross multiply
    3,029,814x = 6,479,529 × 6,479,529
  4. Step 4: Simplify right side
    3,029,814x = 41,984,296,061,841
  5. Step 5: Solve for x
    x = 41,984,296,061,841/3,029,814
  6. Step 6: Final answer
    x = 13,857,053.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.