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Finding the Third Proportional to 5,252,204 and 11,424,649

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Solution

The third proportional to 5,252,204 and 11,424,649 is: 24,851,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252,204 : 11,424,649 = 11,424,649 : x
  2. Step 2: Convert to fraction form
    5,252,204/11,424,649 = 11,424,649/x
  3. Step 3: Cross multiply
    5,252,204x = 11,424,649 × 11,424,649
  4. Step 4: Simplify right side
    5,252,204x = 130,522,604,773,201
  5. Step 5: Solve for x
    x = 130,522,604,773,201/5,252,204
  6. Step 6: Final answer
    x = 24,851,015.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.