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Finding the Third Proportional to 36,563,601,590 and 51,489,608,183

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Solution

The third proportional to 36,563,601,590 and 51,489,608,183 is: 72,508,714,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,563,601,590 : 51,489,608,183 = 51,489,608,183 : x
  2. Step 2: Convert to fraction form
    36,563,601,590/51,489,608,183 = 51,489,608,183/x
  3. Step 3: Cross multiply
    36,563,601,590x = 51,489,608,183 × 51,489,608,183
  4. Step 4: Simplify right side
    36,563,601,590x = 2,651,179,750,838,860,513,280
  5. Step 5: Solve for x
    x = 2,651,179,750,838,860,513,280/36,563,601,590
  6. Step 6: Final answer
    x = 72,508,714,556.28

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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.