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Finding the Third Proportional to 4,639,912 and 10,222,016

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Solution

The third proportional to 4,639,912 and 10,222,016 is: 22,519,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639,912 : 10,222,016 = 10,222,016 : x
  2. Step 2: Convert to fraction form
    4,639,912/10,222,016 = 10,222,016/x
  3. Step 3: Cross multiply
    4,639,912x = 10,222,016 × 10,222,016
  4. Step 4: Simplify right side
    4,639,912x = 104,489,611,104,256
  5. Step 5: Solve for x
    x = 104,489,611,104,256/4,639,912
  6. Step 6: Final answer
    x = 22,519,739.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.