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Finding the Third Proportional to 2,906,473.92 and 6,257,151.84

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Solution

The third proportional to 2,906,473.92 and 6,257,151.84 is: 13,470,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,473.92 : 6,257,151.84 = 6,257,151.84 : x
  2. Step 2: Convert to fraction form
    2,906,473.92/6,257,151.84 = 6,257,151.84/x
  3. Step 3: Cross multiply
    2,906,473.92x = 6,257,151.84 × 6,257,151.84
  4. Step 4: Simplify right side
    2,906,473.92x = 39,151,949,195,744.02
  5. Step 5: Solve for x
    x = 39,151,949,195,744.02/2,906,473.92
  6. Step 6: Final answer
    x = 13,470,600.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.