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Finding the Third Proportional to 851,253,059 and 1,282,968,318

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Solution

The third proportional to 851,253,059 and 1,282,968,318 is: 1,933,629,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,253,059 : 1,282,968,318 = 1,282,968,318 : x
  2. Step 2: Convert to fraction form
    851,253,059/1,282,968,318 = 1,282,968,318/x
  3. Step 3: Cross multiply
    851,253,059x = 1,282,968,318 × 1,282,968,318
  4. Step 4: Simplify right side
    851,253,059x = 1,646,007,704,991,749,120
  5. Step 5: Solve for x
    x = 1,646,007,704,991,749,120/851,253,059
  6. Step 6: Final answer
    x = 1,933,629,121.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.