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Finding the Third Proportional to 2,422,953.75 and 5,286,009.75

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Solution

The third proportional to 2,422,953.75 and 5,286,009.75 is: 11,532,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,953.75 : 5,286,009.75 = 5,286,009.75 : x
  2. Step 2: Convert to fraction form
    2,422,953.75/5,286,009.75 = 5,286,009.75/x
  3. Step 3: Cross multiply
    2,422,953.75x = 5,286,009.75 × 5,286,009.75
  4. Step 4: Simplify right side
    2,422,953.75x = 27,941,899,077,095.06
  5. Step 5: Solve for x
    x = 27,941,899,077,095.06/2,422,953.75
  6. Step 6: Final answer
    x = 11,532,163.62

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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.