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Finding the Third Proportional to 36,968,046.75 and 82,436,206.50

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Solution

The third proportional to 36,968,046.75 and 82,436,206.50 is: 183,827,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968,046.75 : 82,436,206.50 = 82,436,206.50 : x
  2. Step 2: Convert to fraction form
    36,968,046.75/82,436,206.50 = 82,436,206.50/x
  3. Step 3: Cross multiply
    36,968,046.75x = 82,436,206.50 × 82,436,206.50
  4. Step 4: Simplify right side
    36,968,046.75x = 6,795,728,142,110,642
  5. Step 5: Solve for x
    x = 6,795,728,142,110,642/36,968,046.75
  6. Step 6: Final answer
    x = 183,827,081.48

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