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Finding the Third Proportional to 946,048,956 and 2,022,840,976

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Solution

The third proportional to 946,048,956 and 2,022,840,976 is: 4,325,236,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,048,956 : 2,022,840,976 = 2,022,840,976 : x
  2. Step 2: Convert to fraction form
    946,048,956/2,022,840,976 = 2,022,840,976/x
  3. Step 3: Cross multiply
    946,048,956x = 2,022,840,976 × 2,022,840,976
  4. Step 4: Simplify right side
    946,048,956x = 4,091,885,614,184,632,320
  5. Step 5: Solve for x
    x = 4,091,885,614,184,632,320/946,048,956
  6. Step 6: Final answer
    x = 4,325,236,646.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.