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Finding the Third Proportional to 2,527,868 and 5,410,030

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Solution

The third proportional to 2,527,868 and 5,410,030 is: 11,578,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,868 : 5,410,030 = 5,410,030 : x
  2. Step 2: Convert to fraction form
    2,527,868/5,410,030 = 5,410,030/x
  3. Step 3: Cross multiply
    2,527,868x = 5,410,030 × 5,410,030
  4. Step 4: Simplify right side
    2,527,868x = 29,268,424,600,900
  5. Step 5: Solve for x
    x = 29,268,424,600,900/2,527,868
  6. Step 6: Final answer
    x = 11,578,304.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.