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Finding the Third Proportional to 2,527,854 and 5,410,002

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Solution

The third proportional to 2,527,854 and 5,410,002 is: 11,578,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,854 : 5,410,002 = 5,410,002 : x
  2. Step 2: Convert to fraction form
    2,527,854/5,410,002 = 5,410,002/x
  3. Step 3: Cross multiply
    2,527,854x = 5,410,002 × 5,410,002
  4. Step 4: Simplify right side
    2,527,854x = 29,268,121,640,004
  5. Step 5: Solve for x
    x = 29,268,121,640,004/2,527,854
  6. Step 6: Final answer
    x = 11,578,248.44

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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.