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Finding the Third Proportional to 64,166,733 and 133,621,110

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Solution

The third proportional to 64,166,733 and 133,621,110 is: 278,253,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,166,733 : 133,621,110 = 133,621,110 : x
  2. Step 2: Convert to fraction form
    64,166,733/133,621,110 = 133,621,110/x
  3. Step 3: Cross multiply
    64,166,733x = 133,621,110 × 133,621,110
  4. Step 4: Simplify right side
    64,166,733x = 17,854,601,037,632,100
  5. Step 5: Solve for x
    x = 17,854,601,037,632,100/64,166,733
  6. Step 6: Final answer
    x = 278,253,235.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.