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Finding the Third Proportional to 449,324,007,147 and 962,268,410,727

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Solution

The third proportional to 449,324,007,147 and 962,268,410,727 is: 2,060,785,712,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,324,007,147 : 962,268,410,727 = 962,268,410,727 : x
  2. Step 2: Convert to fraction form
    449,324,007,147/962,268,410,727 = 962,268,410,727/x
  3. Step 3: Cross multiply
    449,324,007,147x = 962,268,410,727 × 962,268,410,727
  4. Step 4: Simplify right side
    449,324,007,147x = 925,960,494,283,066,427,047,936
  5. Step 5: Solve for x
    x = 925,960,494,283,066,427,047,936/449,324,007,147
  6. Step 6: Final answer
    x = 2,060,785,712,658.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.