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Finding the Third Proportional to 2,589,540,057 and 3,785,998,131

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Solution

The third proportional to 2,589,540,057 and 3,785,998,131 is: 5,535,261,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,540,057 : 3,785,998,131 = 3,785,998,131 : x
  2. Step 2: Convert to fraction form
    2,589,540,057/3,785,998,131 = 3,785,998,131/x
  3. Step 3: Cross multiply
    2,589,540,057x = 3,785,998,131 × 3,785,998,131
  4. Step 4: Simplify right side
    2,589,540,057x = 14,333,781,847,935,494,144
  5. Step 5: Solve for x
    x = 14,333,781,847,935,494,144/2,589,540,057
  6. Step 6: Final answer
    x = 5,535,261,680.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.