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Finding the Third Proportional to 2,912,775 and 6,336,822

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Solution

The third proportional to 2,912,775 and 6,336,822 is: 13,785,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,775 : 6,336,822 = 6,336,822 : x
  2. Step 2: Convert to fraction form
    2,912,775/6,336,822 = 6,336,822/x
  3. Step 3: Cross multiply
    2,912,775x = 6,336,822 × 6,336,822
  4. Step 4: Simplify right side
    2,912,775x = 40,155,313,059,684
  5. Step 5: Solve for x
    x = 40,155,313,059,684/2,912,775
  6. Step 6: Final answer
    x = 13,785,930.28

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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.