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Finding the Third Proportional to 36,694,471.50 and 51,328,491.75

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Solution

The third proportional to 36,694,471.50 and 51,328,491.75 is: 71,798,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,694,471.50 : 51,328,491.75 = 51,328,491.75 : x
  2. Step 2: Convert to fraction form
    36,694,471.50/51,328,491.75 = 51,328,491.75/x
  3. Step 3: Cross multiply
    36,694,471.50x = 51,328,491.75 × 51,328,491.75
  4. Step 4: Simplify right side
    36,694,471.50x = 2,634,614,065,329,818
  5. Step 5: Solve for x
    x = 2,634,614,065,329,818/36,694,471.50
  6. Step 6: Final answer
    x = 71,798,664.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.