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Finding the Third Proportional to 36,907,540 and 86,232,670

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Solution

The third proportional to 36,907,540 and 86,232,670 is: 201,478,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,907,540 : 86,232,670 = 86,232,670 : x
  2. Step 2: Convert to fraction form
    36,907,540/86,232,670 = 86,232,670/x
  3. Step 3: Cross multiply
    36,907,540x = 86,232,670 × 86,232,670
  4. Step 4: Simplify right side
    36,907,540x = 7,436,073,375,328,900
  5. Step 5: Solve for x
    x = 7,436,073,375,328,900/36,907,540
  6. Step 6: Final answer
    x = 201,478,434.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.