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Finding the Third Proportional to 331,189,790,872 and 720,407,460,272

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Solution

The third proportional to 331,189,790,872 and 720,407,460,272 is: 1,567,037,762,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,189,790,872 : 720,407,460,272 = 720,407,460,272 : x
  2. Step 2: Convert to fraction form
    331,189,790,872/720,407,460,272 = 720,407,460,272/x
  3. Step 3: Cross multiply
    331,189,790,872x = 720,407,460,272 × 720,407,460,272
  4. Step 4: Simplify right side
    331,189,790,872x = 518,986,908,815,553,237,876,736
  5. Step 5: Solve for x
    x = 518,986,908,815,553,237,876,736/331,189,790,872
  6. Step 6: Final answer
    x = 1,567,037,762,393.27

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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.