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Finding the Third Proportional to 6,814,208 and 13,828,648

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Solution

The third proportional to 6,814,208 and 13,828,648 is: 28,063,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814,208 : 13,828,648 = 13,828,648 : x
  2. Step 2: Convert to fraction form
    6,814,208/13,828,648 = 13,828,648/x
  3. Step 3: Cross multiply
    6,814,208x = 13,828,648 × 13,828,648
  4. Step 4: Simplify right side
    6,814,208x = 191,231,505,507,904
  5. Step 5: Solve for x
    x = 191,231,505,507,904/6,814,208
  6. Step 6: Final answer
    x = 28,063,643.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.