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Finding the Third Proportional to 3,969,906 and 8,611,824

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Solution

The third proportional to 3,969,906 and 8,611,824 is: 18,681,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969,906 : 8,611,824 = 8,611,824 : x
  2. Step 2: Convert to fraction form
    3,969,906/8,611,824 = 8,611,824/x
  3. Step 3: Cross multiply
    3,969,906x = 8,611,824 × 8,611,824
  4. Step 4: Simplify right side
    3,969,906x = 74,163,512,606,976
  5. Step 5: Solve for x
    x = 74,163,512,606,976/3,969,906
  6. Step 6: Final answer
    x = 18,681,427.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.