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Finding the Third Proportional to 3,000,322 and 6,469,748

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Solution

The third proportional to 3,000,322 and 6,469,748 is: 13,951,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,322 : 6,469,748 = 6,469,748 : x
  2. Step 2: Convert to fraction form
    3,000,322/6,469,748 = 6,469,748/x
  3. Step 3: Cross multiply
    3,000,322x = 6,469,748 × 6,469,748
  4. Step 4: Simplify right side
    3,000,322x = 41,857,639,183,504
  5. Step 5: Solve for x
    x = 41,857,639,183,504/3,000,322
  6. Step 6: Final answer
    x = 13,951,048.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.