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Finding the Third Proportional to 36,778,489.50 and 78,040,060.50

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Solution

The third proportional to 36,778,489.50 and 78,040,060.50 is: 165,592,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778,489.50 : 78,040,060.50 = 78,040,060.50 : x
  2. Step 2: Convert to fraction form
    36,778,489.50/78,040,060.50 = 78,040,060.50/x
  3. Step 3: Cross multiply
    36,778,489.50x = 78,040,060.50 × 78,040,060.50
  4. Step 4: Simplify right side
    36,778,489.50x = 6,090,251,042,843,660
  5. Step 5: Solve for x
    x = 6,090,251,042,843,660/36,778,489.50
  6. Step 6: Final answer
    x = 165,592,745.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.