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Finding the Third Proportional to 11,514,999,989 and 17,691,524,823

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Solution

The third proportional to 11,514,999,989 and 17,691,524,823 is: 27,181,072,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514,999,989 : 17,691,524,823 = 17,691,524,823 : x
  2. Step 2: Convert to fraction form
    11,514,999,989/17,691,524,823 = 17,691,524,823/x
  3. Step 3: Cross multiply
    11,514,999,989x = 17,691,524,823 × 17,691,524,823
  4. Step 4: Simplify right side
    11,514,999,989x = 312,990,050,562,825,191,424
  5. Step 5: Solve for x
    x = 312,990,050,562,825,191,424/11,514,999,989
  6. Step 6: Final answer
    x = 27,181,072,588.96

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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.