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Finding the Third Proportional to 2,384,238 and 5,109,378

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Solution

The third proportional to 2,384,238 and 5,109,378 is: 10,949,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384,238 : 5,109,378 = 5,109,378 : x
  2. Step 2: Convert to fraction form
    2,384,238/5,109,378 = 5,109,378/x
  3. Step 3: Cross multiply
    2,384,238x = 5,109,378 × 5,109,378
  4. Step 4: Simplify right side
    2,384,238x = 26,105,743,546,884
  5. Step 5: Solve for x
    x = 26,105,743,546,884/2,384,238
  6. Step 6: Final answer
    x = 10,949,302.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.