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Finding the Third Proportional to 2,527,857 and 5,410,009

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Solution

The third proportional to 2,527,857 and 5,410,009 is: 11,578,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,857 : 5,410,009 = 5,410,009 : x
  2. Step 2: Convert to fraction form
    2,527,857/5,410,009 = 5,410,009/x
  3. Step 3: Cross multiply
    2,527,857x = 5,410,009 × 5,410,009
  4. Step 4: Simplify right side
    2,527,857x = 29,268,197,380,081
  5. Step 5: Solve for x
    x = 29,268,197,380,081/2,527,857
  6. Step 6: Final answer
    x = 11,578,264.66

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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.