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Finding the Third Proportional to 5,411,500 and 11,270,764

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Solution

The third proportional to 5,411,500 and 11,270,764 is: 23,474,105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411,500 : 11,270,764 = 11,270,764 : x
  2. Step 2: Convert to fraction form
    5,411,500/11,270,764 = 11,270,764/x
  3. Step 3: Cross multiply
    5,411,500x = 11,270,764 × 11,270,764
  4. Step 4: Simplify right side
    5,411,500x = 127,030,121,143,696
  5. Step 5: Solve for x
    x = 127,030,121,143,696/5,411,500
  6. Step 6: Final answer
    x = 23,474,105.36

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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.