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Finding the Third Proportional to 5,174,840,614 and 11,256,366,835

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Solution

The third proportional to 5,174,840,614 and 11,256,366,835 is: 24,484,965,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,840,614 : 11,256,366,835 = 11,256,366,835 : x
  2. Step 2: Convert to fraction form
    5,174,840,614/11,256,366,835 = 11,256,366,835/x
  3. Step 3: Cross multiply
    5,174,840,614x = 11,256,366,835 × 11,256,366,835
  4. Step 4: Simplify right side
    5,174,840,614x = 126,705,794,324,087,914,496
  5. Step 5: Solve for x
    x = 126,705,794,324,087,914,496/5,174,840,614
  6. Step 6: Final answer
    x = 24,484,965,581.61

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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.