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Finding the Third Proportional to 327,268,569 and 727,181,988

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Solution

The third proportional to 327,268,569 and 727,181,988 is: 1,615,778,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,268,569 : 727,181,988 = 727,181,988 : x
  2. Step 2: Convert to fraction form
    327,268,569/727,181,988 = 727,181,988/x
  3. Step 3: Cross multiply
    327,268,569x = 727,181,988 × 727,181,988
  4. Step 4: Simplify right side
    327,268,569x = 528,793,643,671,632,128
  5. Step 5: Solve for x
    x = 528,793,643,671,632,128/327,268,569
  6. Step 6: Final answer
    x = 1,615,778,885.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.