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Finding the Third Proportional to 55,536,077 and 119,606,512

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Solution

The third proportional to 55,536,077 and 119,606,512 is: 257,593,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,536,077 : 119,606,512 = 119,606,512 : x
  2. Step 2: Convert to fraction form
    55,536,077/119,606,512 = 119,606,512/x
  3. Step 3: Cross multiply
    55,536,077x = 119,606,512 × 119,606,512
  4. Step 4: Simplify right side
    55,536,077x = 14,305,717,712,806,144
  5. Step 5: Solve for x
    x = 14,305,717,712,806,144/55,536,077
  6. Step 6: Final answer
    x = 257,593,234.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.