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Finding the Third Proportional to 331,189,790,020 and 720,407,458,395

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Solution

The third proportional to 331,189,790,020 and 720,407,458,395 is: 1,567,037,758,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,189,790,020 : 720,407,458,395 = 720,407,458,395 : x
  2. Step 2: Convert to fraction form
    331,189,790,020/720,407,458,395 = 720,407,458,395/x
  3. Step 3: Cross multiply
    331,189,790,020x = 720,407,458,395 × 720,407,458,395
  4. Step 4: Simplify right side
    331,189,790,020x = 518,986,906,111,143,663,632,384
  5. Step 5: Solve for x
    x = 518,986,906,111,143,663,632,384/331,189,790,020
  6. Step 6: Final answer
    x = 1,567,037,758,258.80

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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.