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Finding the Third Proportional to 5,469,103 and 11,922,302

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Solution

The third proportional to 5,469,103 and 11,922,302 is: 25,989,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469,103 : 11,922,302 = 11,922,302 : x
  2. Step 2: Convert to fraction form
    5,469,103/11,922,302 = 11,922,302/x
  3. Step 3: Cross multiply
    5,469,103x = 11,922,302 × 11,922,302
  4. Step 4: Simplify right side
    5,469,103x = 142,141,284,979,204
  5. Step 5: Solve for x
    x = 142,141,284,979,204/5,469,103
  6. Step 6: Final answer
    x = 25,989,871.64

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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.