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Finding the Third Proportional to 78,250,879,068 and 171,874,368,096

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Solution

The third proportional to 78,250,879,068 and 171,874,368,096 is: 377,513,949,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,250,879,068 : 171,874,368,096 = 171,874,368,096 : x
  2. Step 2: Convert to fraction form
    78,250,879,068/171,874,368,096 = 171,874,368,096/x
  3. Step 3: Cross multiply
    78,250,879,068x = 171,874,368,096 × 171,874,368,096
  4. Step 4: Simplify right side
    78,250,879,068x = 29,540,798,408,399,303,737,344
  5. Step 5: Solve for x
    x = 29,540,798,408,399,303,737,344/78,250,879,068
  6. Step 6: Final answer
    x = 377,513,949,494.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.