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Finding the Third Proportional to 54,882,512 and 108,377,007

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Solution

The third proportional to 54,882,512 and 108,377,007 is: 214,013,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882,512 : 108,377,007 = 108,377,007 : x
  2. Step 2: Convert to fraction form
    54,882,512/108,377,007 = 108,377,007/x
  3. Step 3: Cross multiply
    54,882,512x = 108,377,007 × 108,377,007
  4. Step 4: Simplify right side
    54,882,512x = 11,745,575,646,278,048
  5. Step 5: Solve for x
    x = 11,745,575,646,278,048/54,882,512
  6. Step 6: Final answer
    x = 214,013,083.92

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.