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Finding the Third Proportional to 5,332,900 and 12,581,226

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Solution

The third proportional to 5,332,900 and 12,581,226 is: 29,681,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332,900 : 12,581,226 = 12,581,226 : x
  2. Step 2: Convert to fraction form
    5,332,900/12,581,226 = 12,581,226/x
  3. Step 3: Cross multiply
    5,332,900x = 12,581,226 × 12,581,226
  4. Step 4: Simplify right side
    5,332,900x = 158,287,247,663,076
  5. Step 5: Solve for x
    x = 158,287,247,663,076/5,332,900
  6. Step 6: Final answer
    x = 29,681,270.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.