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Finding the Third Proportional to 6,969,827.25 and 15,097,824

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Solution

The third proportional to 6,969,827.25 and 15,097,824 is: 32,704,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969,827.25 : 15,097,824 = 15,097,824 : x
  2. Step 2: Convert to fraction form
    6,969,827.25/15,097,824 = 15,097,824/x
  3. Step 3: Cross multiply
    6,969,827.25x = 15,097,824 × 15,097,824
  4. Step 4: Simplify right side
    6,969,827.25x = 227,944,289,534,976
  5. Step 5: Solve for x
    x = 227,944,289,534,976/6,969,827.25
  6. Step 6: Final answer
    x = 32,704,438.91

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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.