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Finding the Third Proportional to 31,550,879.53 and 48,466,013.34

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Solution

The third proportional to 31,550,879.53 and 48,466,013.34 is: 74,449,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,550,879.53 : 48,466,013.34 = 48,466,013.34 : x
  2. Step 2: Convert to fraction form
    31,550,879.53/48,466,013.34 = 48,466,013.34/x
  3. Step 3: Cross multiply
    31,550,879.53x = 48,466,013.34 × 48,466,013.34
  4. Step 4: Simplify right side
    31,550,879.53x = 2,348,954,449,436,553
  5. Step 5: Solve for x
    x = 2,348,954,449,436,553/31,550,879.53
  6. Step 6: Final answer
    x = 74,449,729.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.