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Finding the Third Proportional to 5,204,470 and 11,277,724

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Solution

The third proportional to 5,204,470 and 11,277,724 is: 24,438,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204,470 : 11,277,724 = 11,277,724 : x
  2. Step 2: Convert to fraction form
    5,204,470/11,277,724 = 11,277,724/x
  3. Step 3: Cross multiply
    5,204,470x = 11,277,724 × 11,277,724
  4. Step 4: Simplify right side
    5,204,470x = 127,187,058,620,176
  5. Step 5: Solve for x
    x = 127,187,058,620,176/5,204,470
  6. Step 6: Final answer
    x = 24,438,042.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.