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Finding the Third Proportional to 442,179,634.50 and 946,474,992

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Solution

The third proportional to 442,179,634.50 and 946,474,992 is: 2,025,907,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,179,634.50 : 946,474,992 = 946,474,992 : x
  2. Step 2: Convert to fraction form
    442,179,634.50/946,474,992 = 946,474,992/x
  3. Step 3: Cross multiply
    442,179,634.50x = 946,474,992 × 946,474,992
  4. Step 4: Simplify right side
    442,179,634.50x = 895,814,910,481,400,064
  5. Step 5: Solve for x
    x = 895,814,910,481,400,064/442,179,634.50
  6. Step 6: Final answer
    x = 2,025,907,211.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.