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Finding the Third Proportional to 6,883,400 and 14,208,736

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Solution

The third proportional to 6,883,400 and 14,208,736 is: 29,329,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883,400 : 14,208,736 = 14,208,736 : x
  2. Step 2: Convert to fraction form
    6,883,400/14,208,736 = 14,208,736/x
  3. Step 3: Cross multiply
    6,883,400x = 14,208,736 × 14,208,736
  4. Step 4: Simplify right side
    6,883,400x = 201,888,178,717,696
  5. Step 5: Solve for x
    x = 201,888,178,717,696/6,883,400
  6. Step 6: Final answer
    x = 29,329,717.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.