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Finding the Third Proportional to 38,007,876.94 and 82,982,613.38

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Solution

The third proportional to 38,007,876.94 and 82,982,613.38 is: 181,175,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,007,876.94 : 82,982,613.38 = 82,982,613.38 : x
  2. Step 2: Convert to fraction form
    38,007,876.94/82,982,613.38 = 82,982,613.38/x
  3. Step 3: Cross multiply
    38,007,876.94x = 82,982,613.38 × 82,982,613.38
  4. Step 4: Simplify right side
    38,007,876.94x = 6,886,114,122,544,729
  5. Step 5: Solve for x
    x = 6,886,114,122,544,729/38,007,876.94
  6. Step 6: Final answer
    x = 181,175,973.97

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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.