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Finding the Third Proportional to 34,211,852 and 74,446,704

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Solution

The third proportional to 34,211,852 and 74,446,704 is: 161,999,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,211,852 : 74,446,704 = 74,446,704 : x
  2. Step 2: Convert to fraction form
    34,211,852/74,446,704 = 74,446,704/x
  3. Step 3: Cross multiply
    34,211,852x = 74,446,704 × 74,446,704
  4. Step 4: Simplify right side
    34,211,852x = 5,542,311,736,463,616
  5. Step 5: Solve for x
    x = 5,542,311,736,463,616/34,211,852
  6. Step 6: Final answer
    x = 161,999,757.76

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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.