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Finding the Third Proportional to 37,839,726.50 and 83,004,661

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Solution

The third proportional to 37,839,726.50 and 83,004,661 is: 182,077,789.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,839,726.50 : 83,004,661 = 83,004,661 : x
  2. Step 2: Convert to fraction form
    37,839,726.50/83,004,661 = 83,004,661/x
  3. Step 3: Cross multiply
    37,839,726.50x = 83,004,661 × 83,004,661
  4. Step 4: Simplify right side
    37,839,726.50x = 6,889,773,747,724,921
  5. Step 5: Solve for x
    x = 6,889,773,747,724,921/37,839,726.50
  6. Step 6: Final answer
    x = 182,077,789.27

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Why These Related Problems?

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