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Finding the Third Proportional to 331,189,790,864 and 720,407,460,256

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Solution

The third proportional to 331,189,790,864 and 720,407,460,256 is: 1,567,037,762,361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,189,790,864 : 720,407,460,256 = 720,407,460,256 : x
  2. Step 2: Convert to fraction form
    331,189,790,864/720,407,460,256 = 720,407,460,256/x
  3. Step 3: Cross multiply
    331,189,790,864x = 720,407,460,256 × 720,407,460,256
  4. Step 4: Simplify right side
    331,189,790,864x = 518,986,908,792,500,202,242,048
  5. Step 5: Solve for x
    x = 518,986,908,792,500,202,242,048/331,189,790,864
  6. Step 6: Final answer
    x = 1,567,037,762,361.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.