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Finding the Third Proportional to 2,422,953 and 5,286,009

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Solution

The third proportional to 2,422,953 and 5,286,009 is: 11,532,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,953 : 5,286,009 = 5,286,009 : x
  2. Step 2: Convert to fraction form
    2,422,953/5,286,009 = 5,286,009/x
  3. Step 3: Cross multiply
    2,422,953x = 5,286,009 × 5,286,009
  4. Step 4: Simplify right side
    2,422,953x = 27,941,891,148,081
  5. Step 5: Solve for x
    x = 27,941,891,148,081/2,422,953
  6. Step 6: Final answer
    x = 11,532,163.91

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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.