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Finding the Third Proportional to 37,785,482.44 and 82,408,301.44

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Solution

The third proportional to 37,785,482.44 and 82,408,301.44 is: 179,728,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,785,482.44 : 82,408,301.44 = 82,408,301.44 : x
  2. Step 2: Convert to fraction form
    37,785,482.44/82,408,301.44 = 82,408,301.44/x
  3. Step 3: Cross multiply
    37,785,482.44x = 82,408,301.44 × 82,408,301.44
  4. Step 4: Simplify right side
    37,785,482.44x = 6,791,128,145,813,865
  5. Step 5: Solve for x
    x = 6,791,128,145,813,865/37,785,482.44
  6. Step 6: Final answer
    x = 179,728,501.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.