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Finding the Third Proportional to 689,441,692 and 1,474,434,800

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Solution

The third proportional to 689,441,692 and 1,474,434,800 is: 3,153,215,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,441,692 : 1,474,434,800 = 1,474,434,800 : x
  2. Step 2: Convert to fraction form
    689,441,692/1,474,434,800 = 1,474,434,800/x
  3. Step 3: Cross multiply
    689,441,692x = 1,474,434,800 × 1,474,434,800
  4. Step 4: Simplify right side
    689,441,692x = 2,173,957,979,451,040,000
  5. Step 5: Solve for x
    x = 2,173,957,979,451,040,000/689,441,692
  6. Step 6: Final answer
    x = 3,153,215,137.23

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Why These Related Problems?

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