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Finding the Third Proportional to 9,866,997 and 23,770,704

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Solution

The third proportional to 9,866,997 and 23,770,704 is: 57,266,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866,997 : 23,770,704 = 23,770,704 : x
  2. Step 2: Convert to fraction form
    9,866,997/23,770,704 = 23,770,704/x
  3. Step 3: Cross multiply
    9,866,997x = 23,770,704 × 23,770,704
  4. Step 4: Simplify right side
    9,866,997x = 565,046,368,655,616
  5. Step 5: Solve for x
    x = 565,046,368,655,616/9,866,997
  6. Step 6: Final answer
    x = 57,266,295.78

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.