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Finding the Third Proportional to 2,375,696 and 5,200,366

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Solution

The third proportional to 2,375,696 and 5,200,366 is: 11,383,529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375,696 : 5,200,366 = 5,200,366 : x
  2. Step 2: Convert to fraction form
    2,375,696/5,200,366 = 5,200,366/x
  3. Step 3: Cross multiply
    2,375,696x = 5,200,366 × 5,200,366
  4. Step 4: Simplify right side
    2,375,696x = 27,043,806,533,956
  5. Step 5: Solve for x
    x = 27,043,806,533,956/2,375,696
  6. Step 6: Final answer
    x = 11,383,529.94

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