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Finding the Third Proportional to 369,106,904 and 871,311,568

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Solution

The third proportional to 369,106,904 and 871,311,568 is: 2,056,812,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,106,904 : 871,311,568 = 871,311,568 : x
  2. Step 2: Convert to fraction form
    369,106,904/871,311,568 = 871,311,568/x
  3. Step 3: Cross multiply
    369,106,904x = 871,311,568 × 871,311,568
  4. Step 4: Simplify right side
    369,106,904x = 759,183,848,530,618,624
  5. Step 5: Solve for x
    x = 759,183,848,530,618,624/369,106,904
  6. Step 6: Final answer
    x = 2,056,812,918.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.