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Finding the Third Proportional to 6,322,320 and 13,873,896

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Solution

The third proportional to 6,322,320 and 13,873,896 is: 30,445,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322,320 : 13,873,896 = 13,873,896 : x
  2. Step 2: Convert to fraction form
    6,322,320/13,873,896 = 13,873,896/x
  3. Step 3: Cross multiply
    6,322,320x = 13,873,896 × 13,873,896
  4. Step 4: Simplify right side
    6,322,320x = 192,484,990,218,816
  5. Step 5: Solve for x
    x = 192,484,990,218,816/6,322,320
  6. Step 6: Final answer
    x = 30,445,309.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.