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Finding the Third Proportional to 36,563,601,570 and 51,489,608,154

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Solution

The third proportional to 36,563,601,570 and 51,489,608,154 is: 72,508,714,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,563,601,570 : 51,489,608,154 = 51,489,608,154 : x
  2. Step 2: Convert to fraction form
    36,563,601,570/51,489,608,154 = 51,489,608,154/x
  3. Step 3: Cross multiply
    36,563,601,570x = 51,489,608,154 × 51,489,608,154
  4. Step 4: Simplify right side
    36,563,601,570x = 2,651,179,747,852,463,112,192
  5. Step 5: Solve for x
    x = 2,651,179,747,852,463,112,192/36,563,601,570
  6. Step 6: Final answer
    x = 72,508,714,514.27

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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.