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Finding the Third Proportional to 7,313,469,144 and 11,141,314,608

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Solution

The third proportional to 7,313,469,144 and 11,141,314,608 is: 16,972,641,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313,469,144 : 11,141,314,608 = 11,141,314,608 : x
  2. Step 2: Convert to fraction form
    7,313,469,144/11,141,314,608 = 11,141,314,608/x
  3. Step 3: Cross multiply
    7,313,469,144x = 11,141,314,608 × 11,141,314,608
  4. Step 4: Simplify right side
    7,313,469,144x = 124,128,891,194,434,191,360
  5. Step 5: Solve for x
    x = 124,128,891,194,434,191,360/7,313,469,144
  6. Step 6: Final answer
    x = 16,972,641,676.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.