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Finding the Third Proportional to 55,763,190 and 120,790,512

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Solution

The third proportional to 55,763,190 and 120,790,512 is: 261,648,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,763,190 : 120,790,512 = 120,790,512 : x
  2. Step 2: Convert to fraction form
    55,763,190/120,790,512 = 120,790,512/x
  3. Step 3: Cross multiply
    55,763,190x = 120,790,512 × 120,790,512
  4. Step 4: Simplify right side
    55,763,190x = 14,590,347,789,222,144
  5. Step 5: Solve for x
    x = 14,590,347,789,222,144/55,763,190
  6. Step 6: Final answer
    x = 261,648,370.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.