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Finding the Third Proportional to 36,563,601,549 and 51,489,608,124

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Solution

The third proportional to 36,563,601,549 and 51,489,608,124 is: 72,508,714,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,563,601,549 : 51,489,608,124 = 51,489,608,124 : x
  2. Step 2: Convert to fraction form
    36,563,601,549/51,489,608,124 = 51,489,608,124/x
  3. Step 3: Cross multiply
    36,563,601,549x = 51,489,608,124 × 51,489,608,124
  4. Step 4: Simplify right side
    36,563,601,549x = 2,651,179,744,763,086,635,008
  5. Step 5: Solve for x
    x = 2,651,179,744,763,086,635,008/36,563,601,549
  6. Step 6: Final answer
    x = 72,508,714,471.42

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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.