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Finding the Third Proportional to 54,740,846 and 76,530,927

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Solution

The third proportional to 54,740,846 and 76,530,927 is: 106,994,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,740,846 : 76,530,927 = 76,530,927 : x
  2. Step 2: Convert to fraction form
    54,740,846/76,530,927 = 76,530,927/x
  3. Step 3: Cross multiply
    54,740,846x = 76,530,927 × 76,530,927
  4. Step 4: Simplify right side
    54,740,846x = 5,856,982,787,479,329
  5. Step 5: Solve for x
    x = 5,856,982,787,479,329/54,740,846
  6. Step 6: Final answer
    x = 106,994,743.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.