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Finding the Third Proportional to 38,632,467.75 and 82,873,068.75

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Solution

The third proportional to 38,632,467.75 and 82,873,068.75 is: 177,776,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,632,467.75 : 82,873,068.75 = 82,873,068.75 : x
  2. Step 2: Convert to fraction form
    38,632,467.75/82,873,068.75 = 82,873,068.75/x
  3. Step 3: Cross multiply
    38,632,467.75x = 82,873,068.75 × 82,873,068.75
  4. Step 4: Simplify right side
    38,632,467.75x = 6,867,945,524,042,227
  5. Step 5: Solve for x
    x = 6,867,945,524,042,227/38,632,467.75
  6. Step 6: Final answer
    x = 177,776,516.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.