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Finding the Third Proportional to 2,527,872 and 5,410,038

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Solution

The third proportional to 2,527,872 and 5,410,038 is: 11,578,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,872 : 5,410,038 = 5,410,038 : x
  2. Step 2: Convert to fraction form
    2,527,872/5,410,038 = 5,410,038/x
  3. Step 3: Cross multiply
    2,527,872x = 5,410,038 × 5,410,038
  4. Step 4: Simplify right side
    2,527,872x = 29,268,511,161,444
  5. Step 5: Solve for x
    x = 29,268,511,161,444/2,527,872
  6. Step 6: Final answer
    x = 11,578,320.09

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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.