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Finding the Third Proportional to 55,763,567 and 120,791,267

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Solution

The third proportional to 55,763,567 and 120,791,267 is: 261,649,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,763,567 : 120,791,267 = 120,791,267 : x
  2. Step 2: Convert to fraction form
    55,763,567/120,791,267 = 120,791,267/x
  3. Step 3: Cross multiply
    55,763,567x = 120,791,267 × 120,791,267
  4. Step 4: Simplify right side
    55,763,567x = 14,590,530,183,465,288
  5. Step 5: Solve for x
    x = 14,590,530,183,465,288/55,763,567
  6. Step 6: Final answer
    x = 261,649,872.28

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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.