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Finding the Third Proportional to 36,094,069 and 77,940,907

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Solution

The third proportional to 36,094,069 and 77,940,907 is: 168,304,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,094,069 : 77,940,907 = 77,940,907 : x
  2. Step 2: Convert to fraction form
    36,094,069/77,940,907 = 77,940,907/x
  3. Step 3: Cross multiply
    36,094,069x = 77,940,907 × 77,940,907
  4. Step 4: Simplify right side
    36,094,069x = 6,074,784,983,982,649
  5. Step 5: Solve for x
    x = 6,074,784,983,982,649/36,094,069
  6. Step 6: Final answer
    x = 168,304,243.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.