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Finding the Third Proportional to 52,317,741 and 122,198,973

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Solution

The third proportional to 52,317,741 and 122,198,973 is: 285,421,134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,317,741 : 122,198,973 = 122,198,973 : x
  2. Step 2: Convert to fraction form
    52,317,741/122,198,973 = 122,198,973/x
  3. Step 3: Cross multiply
    52,317,741x = 122,198,973 × 122,198,973
  4. Step 4: Simplify right side
    52,317,741x = 14,932,589,002,254,728
  5. Step 5: Solve for x
    x = 14,932,589,002,254,728/52,317,741
  6. Step 6: Final answer
    x = 285,421,134.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.