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Finding the Third Proportional to 55,758,602 and 120,782,551

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Solution

The third proportional to 55,758,602 and 120,782,551 is: 261,635,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758,602 : 120,782,551 = 120,782,551 : x
  2. Step 2: Convert to fraction form
    55,758,602/120,782,551 = 120,782,551/x
  3. Step 3: Cross multiply
    55,758,602x = 120,782,551 × 120,782,551
  4. Step 4: Simplify right side
    55,758,602x = 14,588,424,626,067,600
  5. Step 5: Solve for x
    x = 14,588,424,626,067,600/55,758,602
  6. Step 6: Final answer
    x = 261,635,408.76

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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.