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Finding the Third Proportional to 37,875,204 and 82,837,744

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Solution

The third proportional to 37,875,204 and 82,837,744 is: 181,176,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,875,204 : 82,837,744 = 82,837,744 : x
  2. Step 2: Convert to fraction form
    37,875,204/82,837,744 = 82,837,744/x
  3. Step 3: Cross multiply
    37,875,204x = 82,837,744 × 82,837,744
  4. Step 4: Simplify right side
    37,875,204x = 6,862,091,831,009,536
  5. Step 5: Solve for x
    x = 6,862,091,831,009,536/37,875,204
  6. Step 6: Final answer
    x = 181,176,366.23

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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.