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Finding the Third Proportional to 3,382,194 and 7,893,253

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Solution

The third proportional to 3,382,194 and 7,893,253 is: 18,421,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382,194 : 7,893,253 = 7,893,253 : x
  2. Step 2: Convert to fraction form
    3,382,194/7,893,253 = 7,893,253/x
  3. Step 3: Cross multiply
    3,382,194x = 7,893,253 × 7,893,253
  4. Step 4: Simplify right side
    3,382,194x = 62,303,442,922,009
  5. Step 5: Solve for x
    x = 62,303,442,922,009/3,382,194
  6. Step 6: Final answer
    x = 18,421,013.97

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.