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Finding the Third Proportional to 3,824,908 and 8,322,746

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Solution

The third proportional to 3,824,908 and 8,322,746 is: 18,109,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824,908 : 8,322,746 = 8,322,746 : x
  2. Step 2: Convert to fraction form
    3,824,908/8,322,746 = 8,322,746/x
  3. Step 3: Cross multiply
    3,824,908x = 8,322,746 × 8,322,746
  4. Step 4: Simplify right side
    3,824,908x = 69,268,100,980,516
  5. Step 5: Solve for x
    x = 69,268,100,980,516/3,824,908
  6. Step 6: Final answer
    x = 18,109,743.03

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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.