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Finding the Third Proportional to 442,179,576 and 946,474,872.50

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Solution

The third proportional to 442,179,576 and 946,474,872.50 is: 2,025,906,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,179,576 : 946,474,872.50 = 946,474,872.50 : x
  2. Step 2: Convert to fraction form
    442,179,576/946,474,872.50 = 946,474,872.50/x
  3. Step 3: Cross multiply
    442,179,576x = 946,474,872.50 × 946,474,872.50
  4. Step 4: Simplify right side
    442,179,576x = 895,814,684,273,891,200
  5. Step 5: Solve for x
    x = 895,814,684,273,891,200/442,179,576
  6. Step 6: Final answer
    x = 2,025,906,968.34

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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.