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Finding the Third Proportional to 444,679,285 and 965,907,600

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Solution

The third proportional to 444,679,285 and 965,907,600 is: 2,098,090,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,679,285 : 965,907,600 = 965,907,600 : x
  2. Step 2: Convert to fraction form
    444,679,285/965,907,600 = 965,907,600/x
  3. Step 3: Cross multiply
    444,679,285x = 965,907,600 × 965,907,600
  4. Step 4: Simplify right side
    444,679,285x = 932,977,491,737,760,000
  5. Step 5: Solve for x
    x = 932,977,491,737,760,000/444,679,285
  6. Step 6: Final answer
    x = 2,098,090,743.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.