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Finding the Third Proportional to 49,734,659,043 and 108,183,356,163

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Solution

The third proportional to 49,734,659,043 and 108,183,356,163 is: 235,321,580,079.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,734,659,043 : 108,183,356,163 = 108,183,356,163 : x
  2. Step 2: Convert to fraction form
    49,734,659,043/108,183,356,163 = 108,183,356,163/x
  3. Step 3: Cross multiply
    49,734,659,043x = 108,183,356,163 × 108,183,356,163
  4. Step 4: Simplify right side
    49,734,659,043x = 11,703,638,550,690,509,357,056
  5. Step 5: Solve for x
    x = 11,703,638,550,690,509,357,056/49,734,659,043
  6. Step 6: Final answer
    x = 235,321,580,079.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.