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Finding the Third Proportional to 273,611,468,502 and 588,400,522,137

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Solution

The third proportional to 273,611,468,502 and 588,400,522,137 is: 1,265,353,299,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,611,468,502 : 588,400,522,137 = 588,400,522,137 : x
  2. Step 2: Convert to fraction form
    273,611,468,502/588,400,522,137 = 588,400,522,137/x
  3. Step 3: Cross multiply
    273,611,468,502x = 588,400,522,137 × 588,400,522,137
  4. Step 4: Simplify right side
    273,611,468,502x = 346,215,174,451,094,238,527,488
  5. Step 5: Solve for x
    x = 346,215,174,451,094,238,527,488/273,611,468,502
  6. Step 6: Final answer
    x = 1,265,353,299,503.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.