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Finding the Third Proportional to 59,120,647,314 and 122,431,972,956

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Solution

The third proportional to 59,120,647,314 and 122,431,972,956 is: 253,542,352,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,120,647,314 : 122,431,972,956 = 122,431,972,956 : x
  2. Step 2: Convert to fraction form
    59,120,647,314/122,431,972,956 = 122,431,972,956/x
  3. Step 3: Cross multiply
    59,120,647,314x = 122,431,972,956 × 122,431,972,956
  4. Step 4: Simplify right side
    59,120,647,314x = 14,989,588,001,898,715,152,384
  5. Step 5: Solve for x
    x = 14,989,588,001,898,715,152,384/59,120,647,314
  6. Step 6: Final answer
    x = 253,542,352,509.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.