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Finding the Third Proportional to 946,268,611 and 2,070,923,157

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Solution

The third proportional to 946,268,611 and 2,070,923,157 is: 4,532,246,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,268,611 : 2,070,923,157 = 2,070,923,157 : x
  2. Step 2: Convert to fraction form
    946,268,611/2,070,923,157 = 2,070,923,157/x
  3. Step 3: Cross multiply
    946,268,611x = 2,070,923,157 × 2,070,923,157
  4. Step 4: Simplify right side
    946,268,611x = 4,288,722,722,198,846,464
  5. Step 5: Solve for x
    x = 4,288,722,722,198,846,464/946,268,611
  6. Step 6: Final answer
    x = 4,532,246,628.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.