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Finding the Third Proportional to 36,563,601,580 and 51,489,608,170

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Solution

The third proportional to 36,563,601,580 and 51,489,608,170 is: 72,508,714,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,563,601,580 : 51,489,608,170 = 51,489,608,170 : x
  2. Step 2: Convert to fraction form
    36,563,601,580/51,489,608,170 = 51,489,608,170/x
  3. Step 3: Cross multiply
    36,563,601,580x = 51,489,608,170 × 51,489,608,170
  4. Step 4: Simplify right side
    36,563,601,580x = 2,651,179,749,500,130,951,168
  5. Step 5: Solve for x
    x = 2,651,179,749,500,130,951,168/36,563,601,580
  6. Step 6: Final answer
    x = 72,508,714,539.50

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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.