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Finding the Third Proportional to 9,770,556 and 20,839,596

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Solution

The third proportional to 9,770,556 and 20,839,596 is: 44,448,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770,556 : 20,839,596 = 20,839,596 : x
  2. Step 2: Convert to fraction form
    9,770,556/20,839,596 = 20,839,596/x
  3. Step 3: Cross multiply
    9,770,556x = 20,839,596 × 20,839,596
  4. Step 4: Simplify right side
    9,770,556x = 434,288,761,443,216
  5. Step 5: Solve for x
    x = 434,288,761,443,216/9,770,556
  6. Step 6: Final answer
    x = 44,448,725.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.