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Finding the Third Proportional to 4,969,782 and 10,839,228

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Solution

The third proportional to 4,969,782 and 10,839,228 is: 23,640,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969,782 : 10,839,228 = 10,839,228 : x
  2. Step 2: Convert to fraction form
    4,969,782/10,839,228 = 10,839,228/x
  3. Step 3: Cross multiply
    4,969,782x = 10,839,228 × 10,839,228
  4. Step 4: Simplify right side
    4,969,782x = 117,488,863,635,984
  5. Step 5: Solve for x
    x = 117,488,863,635,984/4,969,782
  6. Step 6: Final answer
    x = 23,640,647.34

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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.