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Finding the Third Proportional to 3,097,800 and 6,564,861

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Solution

The third proportional to 3,097,800 and 6,564,861 is: 13,912,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,800 : 6,564,861 = 6,564,861 : x
  2. Step 2: Convert to fraction form
    3,097,800/6,564,861 = 6,564,861/x
  3. Step 3: Cross multiply
    3,097,800x = 6,564,861 × 6,564,861
  4. Step 4: Simplify right side
    3,097,800x = 43,097,399,949,321
  5. Step 5: Solve for x
    x = 43,097,399,949,321/3,097,800
  6. Step 6: Final answer
    x = 13,912,260.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.