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Finding the Third Proportional to 4,738,414.50 and 7,278,724

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Solution

The third proportional to 4,738,414.50 and 7,278,724 is: 11,180,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738,414.50 : 7,278,724 = 7,278,724 : x
  2. Step 2: Convert to fraction form
    4,738,414.50/7,278,724 = 7,278,724/x
  3. Step 3: Cross multiply
    4,738,414.50x = 7,278,724 × 7,278,724
  4. Step 4: Simplify right side
    4,738,414.50x = 52,979,823,068,176
  5. Step 5: Solve for x
    x = 52,979,823,068,176/4,738,414.50
  6. Step 6: Final answer
    x = 11,180,917.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.