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Finding the Third Proportional to 446,105,568 and 966,324,192

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Solution

The third proportional to 446,105,568 and 966,324,192 is: 2,093,187,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,105,568 : 966,324,192 = 966,324,192 : x
  2. Step 2: Convert to fraction form
    446,105,568/966,324,192 = 966,324,192/x
  3. Step 3: Cross multiply
    446,105,568x = 966,324,192 × 966,324,192
  4. Step 4: Simplify right side
    446,105,568x = 933,782,444,044,452,864
  5. Step 5: Solve for x
    x = 933,782,444,044,452,864/446,105,568
  6. Step 6: Final answer
    x = 2,093,187,153.50

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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.