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Finding the Third Proportional to 2,500,098 and 5,454,504

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Solution

The third proportional to 2,500,098 and 5,454,504 is: 11,900,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500,098 : 5,454,504 = 5,454,504 : x
  2. Step 2: Convert to fraction form
    2,500,098/5,454,504 = 5,454,504/x
  3. Step 3: Cross multiply
    2,500,098x = 5,454,504 × 5,454,504
  4. Step 4: Simplify right side
    2,500,098x = 29,751,613,886,016
  5. Step 5: Solve for x
    x = 29,751,613,886,016/2,500,098
  6. Step 6: Final answer
    x = 11,900,179.07

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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.