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Finding the Third Proportional to 37,839,536 and 83,004,064

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Solution

The third proportional to 37,839,536 and 83,004,064 is: 182,076,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,839,536 : 83,004,064 = 83,004,064 : x
  2. Step 2: Convert to fraction form
    37,839,536/83,004,064 = 83,004,064/x
  3. Step 3: Cross multiply
    37,839,536x = 83,004,064 × 83,004,064
  4. Step 4: Simplify right side
    37,839,536x = 6,889,674,640,516,096
  5. Step 5: Solve for x
    x = 6,889,674,640,516,096/37,839,536
  6. Step 6: Final answer
    x = 182,076,086.78

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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.