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Finding the Third Proportional to 51,737,832 and 112,661,100

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Solution

The third proportional to 51,737,832 and 112,661,100 is: 245,323,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,737,832 : 112,661,100 = 112,661,100 : x
  2. Step 2: Convert to fraction form
    51,737,832/112,661,100 = 112,661,100/x
  3. Step 3: Cross multiply
    51,737,832x = 112,661,100 × 112,661,100
  4. Step 4: Simplify right side
    51,737,832x = 12,692,523,453,210,000
  5. Step 5: Solve for x
    x = 12,692,523,453,210,000/51,737,832
  6. Step 6: Final answer
    x = 245,323,836.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.