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Finding the Third Proportional to 6,311,304 and 13,823,976

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Solution

The third proportional to 6,311,304 and 13,823,976 is: 30,279,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311,304 : 13,823,976 = 13,823,976 : x
  2. Step 2: Convert to fraction form
    6,311,304/13,823,976 = 13,823,976/x
  3. Step 3: Cross multiply
    6,311,304x = 13,823,976 × 13,823,976
  4. Step 4: Simplify right side
    6,311,304x = 191,102,312,448,576
  5. Step 5: Solve for x
    x = 191,102,312,448,576/6,311,304
  6. Step 6: Final answer
    x = 30,279,370.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.