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Finding the Third Proportional to 2,311,632 and 5,023,728

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Solution

The third proportional to 2,311,632 and 5,023,728 is: 10,917,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311,632 : 5,023,728 = 5,023,728 : x
  2. Step 2: Convert to fraction form
    2,311,632/5,023,728 = 5,023,728/x
  3. Step 3: Cross multiply
    2,311,632x = 5,023,728 × 5,023,728
  4. Step 4: Simplify right side
    2,311,632x = 25,237,843,017,984
  5. Step 5: Solve for x
    x = 25,237,843,017,984/2,311,632
  6. Step 6: Final answer
    x = 10,917,759.84

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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.