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Finding the Third Proportional to 36,414,313 and 78,022,625

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Solution

The third proportional to 36,414,313 and 78,022,625 is: 167,174,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414,313 : 78,022,625 = 78,022,625 : x
  2. Step 2: Convert to fraction form
    36,414,313/78,022,625 = 78,022,625/x
  3. Step 3: Cross multiply
    36,414,313x = 78,022,625 × 78,022,625
  4. Step 4: Simplify right side
    36,414,313x = 6,087,530,011,890,625
  5. Step 5: Solve for x
    x = 6,087,530,011,890,625/36,414,313
  6. Step 6: Final answer
    x = 167,174,100.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.