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Finding the Third Proportional to 3,650,133 and 8,449,821

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Solution

The third proportional to 3,650,133 and 8,449,821 is: 19,560,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650,133 : 8,449,821 = 8,449,821 : x
  2. Step 2: Convert to fraction form
    3,650,133/8,449,821 = 8,449,821/x
  3. Step 3: Cross multiply
    3,650,133x = 8,449,821 × 8,449,821
  4. Step 4: Simplify right side
    3,650,133x = 71,399,474,932,041
  5. Step 5: Solve for x
    x = 71,399,474,932,041/3,650,133
  6. Step 6: Final answer
    x = 19,560,787.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.