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Finding the Third Proportional to 6,502,449 and 14,149,593

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Solution

The third proportional to 6,502,449 and 14,149,593 is: 30,790,088.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502,449 : 14,149,593 = 14,149,593 : x
  2. Step 2: Convert to fraction form
    6,502,449/14,149,593 = 14,149,593/x
  3. Step 3: Cross multiply
    6,502,449x = 14,149,593 × 14,149,593
  4. Step 4: Simplify right side
    6,502,449x = 200,210,982,065,649
  5. Step 5: Solve for x
    x = 200,210,982,065,649/6,502,449
  6. Step 6: Final answer
    x = 30,790,088.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.