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Finding the Third Proportional to 7,533,747.75 and 16,351,810.88

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Solution

The third proportional to 7,533,747.75 and 16,351,810.88 is: 35,491,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533,747.75 : 16,351,810.88 = 16,351,810.88 : x
  2. Step 2: Convert to fraction form
    7,533,747.75/16,351,810.88 = 16,351,810.88/x
  3. Step 3: Cross multiply
    7,533,747.75x = 16,351,810.88 × 16,351,810.88
  4. Step 4: Simplify right side
    7,533,747.75x = 267,381,718,891,768.25
  5. Step 5: Solve for x
    x = 267,381,718,891,768.25/7,533,747.75
  6. Step 6: Final answer
    x = 35,491,196.12

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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.