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Finding the Third Proportional to 36,970,789.50 and 57,472,321.50

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Solution

The third proportional to 36,970,789.50 and 57,472,321.50 is: 89,342,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,970,789.50 : 57,472,321.50 = 57,472,321.50 : x
  2. Step 2: Convert to fraction form
    36,970,789.50/57,472,321.50 = 57,472,321.50/x
  3. Step 3: Cross multiply
    36,970,789.50x = 57,472,321.50 × 57,472,321.50
  4. Step 4: Simplify right side
    36,970,789.50x = 3,303,067,738,599,362
  5. Step 5: Solve for x
    x = 3,303,067,738,599,362/36,970,789.50
  6. Step 6: Final answer
    x = 89,342,634.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.