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Finding the Third Proportional to 327,268,572 and 727,181,994

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Solution

The third proportional to 327,268,572 and 727,181,994 is: 1,615,778,897.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,268,572 : 727,181,994 = 727,181,994 : x
  2. Step 2: Convert to fraction form
    327,268,572/727,181,994 = 727,181,994/x
  3. Step 3: Cross multiply
    327,268,572x = 727,181,994 × 727,181,994
  4. Step 4: Simplify right side
    327,268,572x = 528,793,652,397,816,064
  5. Step 5: Solve for x
    x = 528,793,652,397,816,064/327,268,572
  6. Step 6: Final answer
    x = 1,615,778,897.33

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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.