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Finding the Third Proportional to 6,333,344 and 13,288,768

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Solution

The third proportional to 6,333,344 and 13,288,768 is: 27,882,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333,344 : 13,288,768 = 13,288,768 : x
  2. Step 2: Convert to fraction form
    6,333,344/13,288,768 = 13,288,768/x
  3. Step 3: Cross multiply
    6,333,344x = 13,288,768 × 13,288,768
  4. Step 4: Simplify right side
    6,333,344x = 176,591,354,957,824
  5. Step 5: Solve for x
    x = 176,591,354,957,824/6,333,344
  6. Step 6: Final answer
    x = 27,882,798.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.