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Finding the Third Proportional to 3,272,524 and 6,958,674

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Solution

The third proportional to 3,272,524 and 6,958,674 is: 14,796,879.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272,524 : 6,958,674 = 6,958,674 : x
  2. Step 2: Convert to fraction form
    3,272,524/6,958,674 = 6,958,674/x
  3. Step 3: Cross multiply
    3,272,524x = 6,958,674 × 6,958,674
  4. Step 4: Simplify right side
    3,272,524x = 48,423,143,838,276
  5. Step 5: Solve for x
    x = 48,423,143,838,276/3,272,524
  6. Step 6: Final answer
    x = 14,796,879.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.