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Finding the Third Proportional to 37,839,764 and 83,004,736

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Solution

The third proportional to 37,839,764 and 83,004,736 is: 182,077,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,839,764 : 83,004,736 = 83,004,736 : x
  2. Step 2: Convert to fraction form
    37,839,764/83,004,736 = 83,004,736/x
  3. Step 3: Cross multiply
    37,839,764x = 83,004,736 × 83,004,736
  4. Step 4: Simplify right side
    37,839,764x = 6,889,786,198,429,696
  5. Step 5: Solve for x
    x = 6,889,786,198,429,696/37,839,764
  6. Step 6: Final answer
    x = 182,077,937.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.