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Finding the Third Proportional to 36,968,058 and 82,436,224.50

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Solution

The third proportional to 36,968,058 and 82,436,224.50 is: 183,827,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968,058 : 82,436,224.50 = 82,436,224.50 : x
  2. Step 2: Convert to fraction form
    36,968,058/82,436,224.50 = 82,436,224.50/x
  3. Step 3: Cross multiply
    36,968,058x = 82,436,224.50 × 82,436,224.50
  4. Step 4: Simplify right side
    36,968,058x = 6,795,731,109,814,400
  5. Step 5: Solve for x
    x = 6,795,731,109,814,400/36,968,058
  6. Step 6: Final answer
    x = 183,827,105.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.