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Finding the Third Proportional to 6,383,313 and 13,851,729

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Solution

The third proportional to 6,383,313 and 13,851,729 is: 30,058,121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383,313 : 13,851,729 = 13,851,729 : x
  2. Step 2: Convert to fraction form
    6,383,313/13,851,729 = 13,851,729/x
  3. Step 3: Cross multiply
    6,383,313x = 13,851,729 × 13,851,729
  4. Step 4: Simplify right side
    6,383,313x = 191,870,396,289,441
  5. Step 5: Solve for x
    x = 191,870,396,289,441/6,383,313
  6. Step 6: Final answer
    x = 30,058,121.27

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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.