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Finding the Third Proportional to 7,613,227,429 and 11,638,661,429

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Solution

The third proportional to 7,613,227,429 and 11,638,661,429 is: 17,792,511,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613,227,429 : 11,638,661,429 = 11,638,661,429 : x
  2. Step 2: Convert to fraction form
    7,613,227,429/11,638,661,429 = 11,638,661,429/x
  3. Step 3: Cross multiply
    7,613,227,429x = 11,638,661,429 × 11,638,661,429
  4. Step 4: Simplify right side
    7,613,227,429x = 135,458,439,858,892,324,864
  5. Step 5: Solve for x
    x = 135,458,439,858,892,324,864/7,613,227,429
  6. Step 6: Final answer
    x = 17,792,511,930.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.