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Finding the Third Proportional to 238,521,078 and 504,542,856

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Solution

The third proportional to 238,521,078 and 504,542,856 is: 1,067,257,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,521,078 : 504,542,856 = 504,542,856 : x
  2. Step 2: Convert to fraction form
    238,521,078/504,542,856 = 504,542,856/x
  3. Step 3: Cross multiply
    238,521,078x = 504,542,856 × 504,542,856
  4. Step 4: Simplify right side
    238,521,078x = 254,563,493,540,636,736
  5. Step 5: Solve for x
    x = 254,563,493,540,636,736/238,521,078
  6. Step 6: Final answer
    x = 1,067,257,852.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.