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Finding the Third Proportional to 4,691,251.69 and 7,492,138.03

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Solution

The third proportional to 4,691,251.69 and 7,492,138.03 is: 11,965,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691,251.69 : 7,492,138.03 = 7,492,138.03 : x
  2. Step 2: Convert to fraction form
    4,691,251.69/7,492,138.03 = 7,492,138.03/x
  3. Step 3: Cross multiply
    4,691,251.69x = 7,492,138.03 × 7,492,138.03
  4. Step 4: Simplify right side
    4,691,251.69x = 56,132,132,279,302.62
  5. Step 5: Solve for x
    x = 56,132,132,279,302.62/4,691,251.69
  6. Step 6: Final answer
    x = 11,965,278.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.