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Finding the Third Proportional to 2,451,449,013 and 3,439,868,253

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Solution

The third proportional to 2,451,449,013 and 3,439,868,253 is: 4,826,816,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451,449,013 : 3,439,868,253 = 3,439,868,253 : x
  2. Step 2: Convert to fraction form
    2,451,449,013/3,439,868,253 = 3,439,868,253/x
  3. Step 3: Cross multiply
    2,451,449,013x = 3,439,868,253 × 3,439,868,253
  4. Step 4: Simplify right side
    2,451,449,013x = 11,832,693,597,997,271,040
  5. Step 5: Solve for x
    x = 11,832,693,597,997,271,040/2,451,449,013
  6. Step 6: Final answer
    x = 4,826,816,113.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.