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Finding the Third Proportional to 49,037,736 and 104,052,954

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Solution

The third proportional to 49,037,736 and 104,052,954 is: 220,789,500.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,037,736 : 104,052,954 = 104,052,954 : x
  2. Step 2: Convert to fraction form
    49,037,736/104,052,954 = 104,052,954/x
  3. Step 3: Cross multiply
    49,037,736x = 104,052,954 × 104,052,954
  4. Step 4: Simplify right side
    49,037,736x = 10,827,017,236,126,116
  5. Step 5: Solve for x
    x = 10,827,017,236,126,116/49,037,736
  6. Step 6: Final answer
    x = 220,789,500.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.