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Finding the Third Proportional to 2,586,183.75 and 5,620,023

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Solution

The third proportional to 2,586,183.75 and 5,620,023 is: 12,212,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586,183.75 : 5,620,023 = 5,620,023 : x
  2. Step 2: Convert to fraction form
    2,586,183.75/5,620,023 = 5,620,023/x
  3. Step 3: Cross multiply
    2,586,183.75x = 5,620,023 × 5,620,023
  4. Step 4: Simplify right side
    2,586,183.75x = 31,584,658,520,529
  5. Step 5: Solve for x
    x = 31,584,658,520,529/2,586,183.75
  6. Step 6: Final answer
    x = 12,212,843.93

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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.