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Finding the Third Proportional to 36,785,816 and 86,714,408

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Solution

The third proportional to 36,785,816 and 86,714,408 is: 204,409,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,785,816 : 86,714,408 = 86,714,408 : x
  2. Step 2: Convert to fraction form
    36,785,816/86,714,408 = 86,714,408/x
  3. Step 3: Cross multiply
    36,785,816x = 86,714,408 × 86,714,408
  4. Step 4: Simplify right side
    36,785,816x = 7,519,388,554,790,464
  5. Step 5: Solve for x
    x = 7,519,388,554,790,464/36,785,816
  6. Step 6: Final answer
    x = 204,409,997.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.