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Finding the Third Proportional to 55,784,400 and 120,834,096

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Solution

The third proportional to 55,784,400 and 120,834,096 is: 261,737,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,784,400 : 120,834,096 = 120,834,096 : x
  2. Step 2: Convert to fraction form
    55,784,400/120,834,096 = 120,834,096/x
  3. Step 3: Cross multiply
    55,784,400x = 120,834,096 × 120,834,096
  4. Step 4: Simplify right side
    55,784,400x = 14,600,878,756,137,216
  5. Step 5: Solve for x
    x = 14,600,878,756,137,216/55,784,400
  6. Step 6: Final answer
    x = 261,737,667.81

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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.