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Finding the Third Proportional to 3,296,982 and 7,029,453

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Solution

The third proportional to 3,296,982 and 7,029,453 is: 14,987,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,982 : 7,029,453 = 7,029,453 : x
  2. Step 2: Convert to fraction form
    3,296,982/7,029,453 = 7,029,453/x
  3. Step 3: Cross multiply
    3,296,982x = 7,029,453 × 7,029,453
  4. Step 4: Simplify right side
    3,296,982x = 49,413,209,479,209
  5. Step 5: Solve for x
    x = 49,413,209,479,209/3,296,982
  6. Step 6: Final answer
    x = 14,987,406.51

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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.