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Finding the Third Proportional to 2,400,338 and 5,666,225

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Solution

The third proportional to 2,400,338 and 5,666,225 is: 13,375,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400,338 : 5,666,225 = 5,666,225 : x
  2. Step 2: Convert to fraction form
    2,400,338/5,666,225 = 5,666,225/x
  3. Step 3: Cross multiply
    2,400,338x = 5,666,225 × 5,666,225
  4. Step 4: Simplify right side
    2,400,338x = 32,106,105,750,625
  5. Step 5: Solve for x
    x = 32,106,105,750,625/2,400,338
  6. Step 6: Final answer
    x = 13,375,660.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.