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Finding the Third Proportional to 5,804,324,774 and 11,852,275,512

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Solution

The third proportional to 5,804,324,774 and 11,852,275,512 is: 24,202,028,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804,324,774 : 11,852,275,512 = 11,852,275,512 : x
  2. Step 2: Convert to fraction form
    5,804,324,774/11,852,275,512 = 11,852,275,512/x
  3. Step 3: Cross multiply
    5,804,324,774x = 11,852,275,512 × 11,852,275,512
  4. Step 4: Simplify right side
    5,804,324,774x = 140,476,434,812,354,854,912
  5. Step 5: Solve for x
    x = 140,476,434,812,354,854,912/5,804,324,774
  6. Step 6: Final answer
    x = 24,202,028,708.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.