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Finding the Third Proportional to 2,375,661 and 5,200,305

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Solution

The third proportional to 2,375,661 and 5,200,305 is: 11,383,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375,661 : 5,200,305 = 5,200,305 : x
  2. Step 2: Convert to fraction form
    2,375,661/5,200,305 = 5,200,305/x
  3. Step 3: Cross multiply
    2,375,661x = 5,200,305 × 5,200,305
  4. Step 4: Simplify right side
    2,375,661x = 27,043,172,093,025
  5. Step 5: Solve for x
    x = 27,043,172,093,025/2,375,661
  6. Step 6: Final answer
    x = 11,383,430.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.