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Finding the Third Proportional to 14,456,720.25 and 31,432,824

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Solution

The third proportional to 14,456,720.25 and 31,432,824 is: 68,343,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456,720.25 : 31,432,824 = 31,432,824 : x
  2. Step 2: Convert to fraction form
    14,456,720.25/31,432,824 = 31,432,824/x
  3. Step 3: Cross multiply
    14,456,720.25x = 31,432,824 × 31,432,824
  4. Step 4: Simplify right side
    14,456,720.25x = 988,022,424,614,976
  5. Step 5: Solve for x
    x = 988,022,424,614,976/14,456,720.25
  6. Step 6: Final answer
    x = 68,343,469.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.