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Finding the Third Proportional to 36,785,822 and 86,714,422

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Solution

The third proportional to 36,785,822 and 86,714,422 is: 204,410,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,785,822 : 86,714,422 = 86,714,422 : x
  2. Step 2: Convert to fraction form
    36,785,822/86,714,422 = 86,714,422/x
  3. Step 3: Cross multiply
    36,785,822x = 86,714,422 × 86,714,422
  4. Step 4: Simplify right side
    36,785,822x = 7,519,390,982,794,084
  5. Step 5: Solve for x
    x = 7,519,390,982,794,084/36,785,822
  6. Step 6: Final answer
    x = 204,410,030.11

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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.