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Finding the Third Proportional to 36,351,660 and 77,809,830

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Solution

The third proportional to 36,351,660 and 77,809,830 is: 166,550,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,351,660 : 77,809,830 = 77,809,830 : x
  2. Step 2: Convert to fraction form
    36,351,660/77,809,830 = 77,809,830/x
  3. Step 3: Cross multiply
    36,351,660x = 77,809,830 × 77,809,830
  4. Step 4: Simplify right side
    36,351,660x = 6,054,369,644,628,900
  5. Step 5: Solve for x
    x = 6,054,369,644,628,900/36,351,660
  6. Step 6: Final answer
    x = 166,550,018.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.