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Finding the Third Proportional to 3,296,980 and 7,029,449

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Solution

The third proportional to 3,296,980 and 7,029,449 is: 14,987,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,980 : 7,029,449 = 7,029,449 : x
  2. Step 2: Convert to fraction form
    3,296,980/7,029,449 = 7,029,449/x
  3. Step 3: Cross multiply
    3,296,980x = 7,029,449 × 7,029,449
  4. Step 4: Simplify right side
    3,296,980x = 49,413,153,243,601
  5. Step 5: Solve for x
    x = 49,413,153,243,601/3,296,980
  6. Step 6: Final answer
    x = 14,987,398.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.