Home / 37,932,203.81-82,241,654.06

Finding the Third Proportional to 37,932,203.81 and 82,241,654.06

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Solution

The third proportional to 37,932,203.81 and 82,241,654.06 is: 178,309,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,932,203.81 : 82,241,654.06 = 82,241,654.06 : x
  2. Step 2: Convert to fraction form
    37,932,203.81/82,241,654.06 = 82,241,654.06/x
  3. Step 3: Cross multiply
    37,932,203.81x = 82,241,654.06 × 82,241,654.06
  4. Step 4: Simplify right side
    37,932,203.81x = 6,763,689,662,935,923
  5. Step 5: Solve for x
    x = 6,763,689,662,935,923/37,932,203.81
  6. Step 6: Final answer
    x = 178,309,957.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.