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Finding the Third Proportional to 5,582,784 and 12,093,027

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Solution

The third proportional to 5,582,784 and 12,093,027 is: 26,195,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582,784 : 12,093,027 = 12,093,027 : x
  2. Step 2: Convert to fraction form
    5,582,784/12,093,027 = 12,093,027/x
  3. Step 3: Cross multiply
    5,582,784x = 12,093,027 × 12,093,027
  4. Step 4: Simplify right side
    5,582,784x = 146,241,302,022,729
  5. Step 5: Solve for x
    x = 146,241,302,022,729/5,582,784
  6. Step 6: Final answer
    x = 26,195,049.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.