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Finding the Third Proportional to 3,296,968 and 7,029,418

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Solution

The third proportional to 3,296,968 and 7,029,418 is: 14,987,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,968 : 7,029,418 = 7,029,418 : x
  2. Step 2: Convert to fraction form
    3,296,968/7,029,418 = 7,029,418/x
  3. Step 3: Cross multiply
    3,296,968x = 7,029,418 × 7,029,418
  4. Step 4: Simplify right side
    3,296,968x = 49,412,717,418,724
  5. Step 5: Solve for x
    x = 49,412,717,418,724/3,296,968
  6. Step 6: Final answer
    x = 14,987,320.90

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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.