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Finding the Third Proportional to 36,785,820 and 86,714,418

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Solution

The third proportional to 36,785,820 and 86,714,418 is: 204,410,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,785,820 : 86,714,418 = 86,714,418 : x
  2. Step 2: Convert to fraction form
    36,785,820/86,714,418 = 86,714,418/x
  3. Step 3: Cross multiply
    36,785,820x = 86,714,418 × 86,714,418
  4. Step 4: Simplify right side
    36,785,820x = 7,519,390,289,078,724
  5. Step 5: Solve for x
    x = 7,519,390,289,078,724/36,785,820
  6. Step 6: Final answer
    x = 204,410,022.37

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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.