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Finding the Third Proportional to 11,515,000,011 and 17,691,524,856

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Solution

The third proportional to 11,515,000,011 and 17,691,524,856 is: 27,181,072,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515,000,011 : 17,691,524,856 = 17,691,524,856 : x
  2. Step 2: Convert to fraction form
    11,515,000,011/17,691,524,856 = 17,691,524,856/x
  3. Step 3: Cross multiply
    11,515,000,011x = 17,691,524,856 × 17,691,524,856
  4. Step 4: Simplify right side
    11,515,000,011x = 312,990,051,730,465,816,576
  5. Step 5: Solve for x
    x = 312,990,051,730,465,816,576/11,515,000,011
  6. Step 6: Final answer
    x = 27,181,072,638.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.