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Finding the Third Proportional to 2,825,370 and 6,188,194

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Solution

The third proportional to 2,825,370 and 6,188,194 is: 13,553,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825,370 : 6,188,194 = 6,188,194 : x
  2. Step 2: Convert to fraction form
    2,825,370/6,188,194 = 6,188,194/x
  3. Step 3: Cross multiply
    2,825,370x = 6,188,194 × 6,188,194
  4. Step 4: Simplify right side
    2,825,370x = 38,293,744,981,636
  5. Step 5: Solve for x
    x = 38,293,744,981,636/2,825,370
  6. Step 6: Final answer
    x = 13,553,532.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.