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Finding the Third Proportional to 2,694,855 and 5,763,102

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Solution

The third proportional to 2,694,855 and 5,763,102 is: 12,324,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694,855 : 5,763,102 = 5,763,102 : x
  2. Step 2: Convert to fraction form
    2,694,855/5,763,102 = 5,763,102/x
  3. Step 3: Cross multiply
    2,694,855x = 5,763,102 × 5,763,102
  4. Step 4: Simplify right side
    2,694,855x = 33,213,344,662,404
  5. Step 5: Solve for x
    x = 33,213,344,662,404/2,694,855
  6. Step 6: Final answer
    x = 12,324,724.21

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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.