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Finding the Third Proportional to 7,159,212,852 and 14,522,561,790

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Solution

The third proportional to 7,159,212,852 and 14,522,561,790 is: 29,459,216,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159,212,852 : 14,522,561,790 = 14,522,561,790 : x
  2. Step 2: Convert to fraction form
    7,159,212,852/14,522,561,790 = 14,522,561,790/x
  3. Step 3: Cross multiply
    7,159,212,852x = 14,522,561,790 × 14,522,561,790
  4. Step 4: Simplify right side
    7,159,212,852x = 210,904,800,944,367,992,832
  5. Step 5: Solve for x
    x = 210,904,800,944,367,992,832/7,159,212,852
  6. Step 6: Final answer
    x = 29,459,216,439.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.