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Finding the Third Proportional to 7,204,569 and 11,143,521

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Solution

The third proportional to 7,204,569 and 11,143,521 is: 17,236,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204,569 : 11,143,521 = 11,143,521 : x
  2. Step 2: Convert to fraction form
    7,204,569/11,143,521 = 11,143,521/x
  3. Step 3: Cross multiply
    7,204,569x = 11,143,521 × 11,143,521
  4. Step 4: Simplify right side
    7,204,569x = 124,178,060,277,441
  5. Step 5: Solve for x
    x = 124,178,060,277,441/7,204,569
  6. Step 6: Final answer
    x = 17,236,015.13

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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.