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Finding the Third Proportional to 37,839,330 and 83,003,616

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Solution

The third proportional to 37,839,330 and 83,003,616 is: 182,075,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,839,330 : 83,003,616 = 83,003,616 : x
  2. Step 2: Convert to fraction form
    37,839,330/83,003,616 = 83,003,616/x
  3. Step 3: Cross multiply
    37,839,330x = 83,003,616 × 83,003,616
  4. Step 4: Simplify right side
    37,839,330x = 6,889,600,269,075,456
  5. Step 5: Solve for x
    x = 6,889,600,269,075,456/37,839,330
  6. Step 6: Final answer
    x = 182,075,112.56

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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.