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Finding the Third Proportional to 11,515,000,826 and 17,691,526,239

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Solution

The third proportional to 11,515,000,826 and 17,691,526,239 is: 27,181,074,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515,000,826 : 17,691,526,239 = 17,691,526,239 : x
  2. Step 2: Convert to fraction form
    11,515,000,826/17,691,526,239 = 17,691,526,239/x
  3. Step 3: Cross multiply
    11,515,000,826x = 17,691,526,239 × 17,691,526,239
  4. Step 4: Simplify right side
    11,515,000,826x = 312,990,100,665,225,510,912
  5. Step 5: Solve for x
    x = 312,990,100,665,225,510,912/11,515,000,826
  6. Step 6: Final answer
    x = 27,181,074,964.28

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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.