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Finding the Third Proportional to 2,556,027 and 5,471,109

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Solution

The third proportional to 2,556,027 and 5,471,109 is: 11,710,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556,027 : 5,471,109 = 5,471,109 : x
  2. Step 2: Convert to fraction form
    2,556,027/5,471,109 = 5,471,109/x
  3. Step 3: Cross multiply
    2,556,027x = 5,471,109 × 5,471,109
  4. Step 4: Simplify right side
    2,556,027x = 29,933,033,689,881
  5. Step 5: Solve for x
    x = 29,933,033,689,881/2,556,027
  6. Step 6: Final answer
    x = 11,710,765.84

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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.