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Finding the Third Proportional to 36,563,601,568 and 51,489,608,151

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Solution

The third proportional to 36,563,601,568 and 51,489,608,151 is: 72,508,714,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,563,601,568 : 51,489,608,151 = 51,489,608,151 : x
  2. Step 2: Convert to fraction form
    36,563,601,568/51,489,608,151 = 51,489,608,151/x
  3. Step 3: Cross multiply
    36,563,601,568x = 51,489,608,151 × 51,489,608,151
  4. Step 4: Simplify right side
    36,563,601,568x = 2,651,179,747,543,525,883,904
  5. Step 5: Solve for x
    x = 2,651,179,747,543,525,883,904/36,563,601,568
  6. Step 6: Final answer
    x = 72,508,714,509.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.