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Finding the Third Proportional to 23,029,999,977 and 35,383,049,644.50

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Solution

The third proportional to 23,029,999,977 and 35,383,049,644.50 is: 54,362,145,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029,999,977 : 35,383,049,644.50 = 35,383,049,644.50 : x
  2. Step 2: Convert to fraction form
    23,029,999,977/35,383,049,644.50 = 35,383,049,644.50/x
  3. Step 3: Cross multiply
    23,029,999,977x = 35,383,049,644.50 × 35,383,049,644.50
  4. Step 4: Simplify right side
    23,029,999,977x = 1,251,960,202,145,151,582,208
  5. Step 5: Solve for x
    x = 1,251,960,202,145,151,582,208/23,029,999,977
  6. Step 6: Final answer
    x = 54,362,145,175.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.