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Finding the Third Proportional to 20,786,565,702 and 48,503,662,956

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Solution

The third proportional to 20,786,565,702 and 48,503,662,956 is: 113,179,125,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786,565,702 : 48,503,662,956 = 48,503,662,956 : x
  2. Step 2: Convert to fraction form
    20,786,565,702/48,503,662,956 = 48,503,662,956/x
  3. Step 3: Cross multiply
    20,786,565,702x = 48,503,662,956 × 48,503,662,956
  4. Step 4: Simplify right side
    20,786,565,702x = 2,352,605,320,149,246,672,896
  5. Step 5: Solve for x
    x = 2,352,605,320,149,246,672,896/20,786,565,702
  6. Step 6: Final answer
    x = 113,179,125,107.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.