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Finding the Third Proportional to 55,582,968 and 122,474,096

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Solution

The third proportional to 55,582,968 and 122,474,096 is: 269,865,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,582,968 : 122,474,096 = 122,474,096 : x
  2. Step 2: Convert to fraction form
    55,582,968/122,474,096 = 122,474,096/x
  3. Step 3: Cross multiply
    55,582,968x = 122,474,096 × 122,474,096
  4. Step 4: Simplify right side
    55,582,968x = 14,999,904,191,017,216
  5. Step 5: Solve for x
    x = 14,999,904,191,017,216/55,582,968
  6. Step 6: Final answer
    x = 269,865,117.51

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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.