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Finding the Third Proportional to 5,752,176.75 and 12,534,023.25

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Solution

The third proportional to 5,752,176.75 and 12,534,023.25 is: 27,311,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752,176.75 : 12,534,023.25 = 12,534,023.25 : x
  2. Step 2: Convert to fraction form
    5,752,176.75/12,534,023.25 = 12,534,023.25/x
  3. Step 3: Cross multiply
    5,752,176.75x = 12,534,023.25 × 12,534,023.25
  4. Step 4: Simplify right side
    5,752,176.75x = 157,101,738,831,540.56
  5. Step 5: Solve for x
    x = 157,101,738,831,540.56/5,752,176.75
  6. Step 6: Final answer
    x = 27,311,702.28

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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.