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Finding the Third Proportional to 7,234,764 and 11,197,267

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Solution

The third proportional to 7,234,764 and 11,197,267 is: 17,330,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234,764 : 11,197,267 = 11,197,267 : x
  2. Step 2: Convert to fraction form
    7,234,764/11,197,267 = 11,197,267/x
  3. Step 3: Cross multiply
    7,234,764x = 11,197,267 × 11,197,267
  4. Step 4: Simplify right side
    7,234,764x = 125,378,788,269,289
  5. Step 5: Solve for x
    x = 125,378,788,269,289/7,234,764
  6. Step 6: Final answer
    x = 17,330,045.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.