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Finding the Third Proportional to 7,533,766.97 and 16,351,849.69

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Solution

The third proportional to 7,533,766.97 and 16,351,849.69 is: 35,491,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533,766.97 : 16,351,849.69 = 16,351,849.69 : x
  2. Step 2: Convert to fraction form
    7,533,766.97/16,351,849.69 = 16,351,849.69/x
  3. Step 3: Cross multiply
    7,533,766.97x = 16,351,849.69 × 16,351,849.69
  4. Step 4: Simplify right side
    7,533,766.97x = 267,382,988,202,593.84
  5. Step 5: Solve for x
    x = 267,382,988,202,593.84/7,533,766.97
  6. Step 6: Final answer
    x = 35,491,274.06

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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.