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Finding the Third Proportional to 36,470,256 and 77,821,896

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Solution

The third proportional to 36,470,256 and 77,821,896 is: 166,059,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,470,256 : 77,821,896 = 77,821,896 : x
  2. Step 2: Convert to fraction form
    36,470,256/77,821,896 = 77,821,896/x
  3. Step 3: Cross multiply
    36,470,256x = 77,821,896 × 77,821,896
  4. Step 4: Simplify right side
    36,470,256x = 6,056,247,497,034,816
  5. Step 5: Solve for x
    x = 6,056,247,497,034,816/36,470,256
  6. Step 6: Final answer
    x = 166,059,911.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.