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Finding the Third Proportional to 6,338,156,191,608 and 13,728,770,662,546

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Solution

The third proportional to 6,338,156,191,608 and 13,728,770,662,546 is: 29,737,219,817,072.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338,156,191,608 : 13,728,770,662,546 = 13,728,770,662,546 : x
  2. Step 2: Convert to fraction form
    6,338,156,191,608/13,728,770,662,546 = 13,728,770,662,546/x
  3. Step 3: Cross multiply
    6,338,156,191,608x = 13,728,770,662,546 × 13,728,770,662,546
  4. Step 4: Simplify right side
    6,338,156,191,608x = 188,479,143,904,783,719,204,913,152
  5. Step 5: Solve for x
    x = 188,479,143,904,783,719,204,913,152/6,338,156,191,608
  6. Step 6: Final answer
    x = 29,737,219,817,072.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.