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Finding the Third Proportional to 5,441,912 and 11,863,648

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Solution

The third proportional to 5,441,912 and 11,863,648 is: 25,863,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441,912 : 11,863,648 = 11,863,648 : x
  2. Step 2: Convert to fraction form
    5,441,912/11,863,648 = 11,863,648/x
  3. Step 3: Cross multiply
    5,441,912x = 11,863,648 × 11,863,648
  4. Step 4: Simplify right side
    5,441,912x = 140,746,143,867,904
  5. Step 5: Solve for x
    x = 140,746,143,867,904/5,441,912
  6. Step 6: Final answer
    x = 25,863,362.71

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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.