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Finding the Third Proportional to 5,491,629 and 11,437,767

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Solution

The third proportional to 5,491,629 and 11,437,767 is: 23,822,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491,629 : 11,437,767 = 11,437,767 : x
  2. Step 2: Convert to fraction form
    5,491,629/11,437,767 = 11,437,767/x
  3. Step 3: Cross multiply
    5,491,629x = 11,437,767 × 11,437,767
  4. Step 4: Simplify right side
    5,491,629x = 130,822,513,946,289
  5. Step 5: Solve for x
    x = 130,822,513,946,289/5,491,629
  6. Step 6: Final answer
    x = 23,822,168.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.