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Finding the Third Proportional to 11,413,193,684 and 23,147,300,424

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Solution

The third proportional to 11,413,193,684 and 23,147,300,424 is: 46,945,450,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413,193,684 : 23,147,300,424 = 23,147,300,424 : x
  2. Step 2: Convert to fraction form
    11,413,193,684/23,147,300,424 = 23,147,300,424/x
  3. Step 3: Cross multiply
    11,413,193,684x = 23,147,300,424 × 23,147,300,424
  4. Step 4: Simplify right side
    11,413,193,684x = 535,797,516,918,910,550,016
  5. Step 5: Solve for x
    x = 535,797,516,918,910,550,016/11,413,193,684
  6. Step 6: Final answer
    x = 46,945,450,305.47

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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.