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Finding the Third Proportional to 5,174,840,652 and 11,256,366,894

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Solution

The third proportional to 5,174,840,652 and 11,256,366,894 is: 24,484,965,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,840,652 : 11,256,366,894 = 11,256,366,894 : x
  2. Step 2: Convert to fraction form
    5,174,840,652/11,256,366,894 = 11,256,366,894/x
  3. Step 3: Cross multiply
    5,174,840,652x = 11,256,366,894 × 11,256,366,894
  4. Step 4: Simplify right side
    5,174,840,652x = 126,705,795,652,339,204,096
  5. Step 5: Solve for x
    x = 126,705,795,652,339,204,096/5,174,840,652
  6. Step 6: Final answer
    x = 24,484,965,658.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.