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Finding the Third Proportional to 38,858,370.75 and 83,769,879.38

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Solution

The third proportional to 38,858,370.75 and 83,769,879.38 is: 180,588,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,858,370.75 : 83,769,879.38 = 83,769,879.38 : x
  2. Step 2: Convert to fraction form
    38,858,370.75/83,769,879.38 = 83,769,879.38/x
  3. Step 3: Cross multiply
    38,858,370.75x = 83,769,879.38 × 83,769,879.38
  4. Step 4: Simplify right side
    38,858,370.75x = 7,017,392,690,502,050
  5. Step 5: Solve for x
    x = 7,017,392,690,502,050/38,858,370.75
  6. Step 6: Final answer
    x = 180,588,958.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.