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Finding the Third Proportional to 38,899,944 and 84,649,680

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Solution

The third proportional to 38,899,944 and 84,649,680 is: 184,205,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,899,944 : 84,649,680 = 84,649,680 : x
  2. Step 2: Convert to fraction form
    38,899,944/84,649,680 = 84,649,680/x
  3. Step 3: Cross multiply
    38,899,944x = 84,649,680 × 84,649,680
  4. Step 4: Simplify right side
    38,899,944x = 7,165,568,324,102,400
  5. Step 5: Solve for x
    x = 7,165,568,324,102,400/38,899,944
  6. Step 6: Final answer
    x = 184,205,106.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.