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Finding the Third Proportional to 27,467,534,847 and 58,909,347,945

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Solution

The third proportional to 27,467,534,847 and 58,909,347,945 is: 126,342,290,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,467,534,847 : 58,909,347,945 = 58,909,347,945 : x
  2. Step 2: Convert to fraction form
    27,467,534,847/58,909,347,945 = 58,909,347,945/x
  3. Step 3: Cross multiply
    27,467,534,847x = 58,909,347,945 × 58,909,347,945
  4. Step 4: Simplify right side
    27,467,534,847x = 3,470,311,275,305,075,474,432
  5. Step 5: Solve for x
    x = 3,470,311,275,305,075,474,432/27,467,534,847
  6. Step 6: Final answer
    x = 126,342,290,803.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.