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Finding the Third Proportional to 220,993,859 and 481,223,016

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Solution

The third proportional to 220,993,859 and 481,223,016 is: 1,047,882,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,993,859 : 481,223,016 = 481,223,016 : x
  2. Step 2: Convert to fraction form
    220,993,859/481,223,016 = 481,223,016/x
  3. Step 3: Cross multiply
    220,993,859x = 481,223,016 × 481,223,016
  4. Step 4: Simplify right side
    220,993,859x = 231,575,591,128,136,256
  5. Step 5: Solve for x
    x = 231,575,591,128,136,256/220,993,859
  6. Step 6: Final answer
    x = 1,047,882,471.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.