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Finding the Third Proportional to 3,846,824 and 8,208,524

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Solution

The third proportional to 3,846,824 and 8,208,524 is: 17,515,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846,824 : 8,208,524 = 8,208,524 : x
  2. Step 2: Convert to fraction form
    3,846,824/8,208,524 = 8,208,524/x
  3. Step 3: Cross multiply
    3,846,824x = 8,208,524 × 8,208,524
  4. Step 4: Simplify right side
    3,846,824x = 67,379,866,258,576
  5. Step 5: Solve for x
    x = 67,379,866,258,576/3,846,824
  6. Step 6: Final answer
    x = 17,515,713.29

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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.