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Finding the Third Proportional to 2,738,913.75 and 4,274,180.16

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Solution

The third proportional to 2,738,913.75 and 4,274,180.16 is: 6,670,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,913.75 : 4,274,180.16 = 4,274,180.16 : x
  2. Step 2: Convert to fraction form
    2,738,913.75/4,274,180.16 = 4,274,180.16/x
  3. Step 3: Cross multiply
    2,738,913.75x = 4,274,180.16 × 4,274,180.16
  4. Step 4: Simplify right side
    2,738,913.75x = 18,268,616,008,081.27
  5. Step 5: Solve for x
    x = 18,268,616,008,081.27/2,738,913.75
  6. Step 6: Final answer
    x = 6,670,022.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.