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Finding the Third Proportional to 3,163,728 and 6,825,120

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Solution

The third proportional to 3,163,728 and 6,825,120 is: 14,723,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,728 : 6,825,120 = 6,825,120 : x
  2. Step 2: Convert to fraction form
    3,163,728/6,825,120 = 6,825,120/x
  3. Step 3: Cross multiply
    3,163,728x = 6,825,120 × 6,825,120
  4. Step 4: Simplify right side
    3,163,728x = 46,582,263,014,400
  5. Step 5: Solve for x
    x = 46,582,263,014,400/3,163,728
  6. Step 6: Final answer
    x = 14,723,852.06

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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.