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Finding the Third Proportional to 65,420,205,452 and 142,302,707,860

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Solution

The third proportional to 65,420,205,452 and 142,302,707,860 is: 309,538,322,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,420,205,452 : 142,302,707,860 = 142,302,707,860 : x
  2. Step 2: Convert to fraction form
    65,420,205,452/142,302,707,860 = 142,302,707,860/x
  3. Step 3: Cross multiply
    65,420,205,452x = 142,302,707,860 × 142,302,707,860
  4. Step 4: Simplify right side
    65,420,205,452x = 20,250,060,664,288,504,184,832
  5. Step 5: Solve for x
    x = 20,250,060,664,288,504,184,832/65,420,205,452
  6. Step 6: Final answer
    x = 309,538,322,669.23

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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.