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Finding the Third Proportional to 3,663,936 and 7,814,799

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Solution

The third proportional to 3,663,936 and 7,814,799 is: 16,668,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663,936 : 7,814,799 = 7,814,799 : x
  2. Step 2: Convert to fraction form
    3,663,936/7,814,799 = 7,814,799/x
  3. Step 3: Cross multiply
    3,663,936x = 7,814,799 × 7,814,799
  4. Step 4: Simplify right side
    3,663,936x = 61,071,083,410,401
  5. Step 5: Solve for x
    x = 61,071,083,410,401/3,663,936
  6. Step 6: Final answer
    x = 16,668,163.26

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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.