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Finding the Third Proportional to 5,229,270,438 and 11,204,564,960

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Solution

The third proportional to 5,229,270,438 and 11,204,564,960 is: 24,007,608,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229,270,438 : 11,204,564,960 = 11,204,564,960 : x
  2. Step 2: Convert to fraction form
    5,229,270,438/11,204,564,960 = 11,204,564,960/x
  3. Step 3: Cross multiply
    5,229,270,438x = 11,204,564,960 × 11,204,564,960
  4. Step 4: Simplify right side
    5,229,270,438x = 125,542,275,942,859,800,576
  5. Step 5: Solve for x
    x = 125,542,275,942,859,800,576/5,229,270,438
  6. Step 6: Final answer
    x = 24,007,608,218.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.