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Finding the Third Proportional to 6,675,685 and 14,296,144

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Solution

The third proportional to 6,675,685 and 14,296,144 is: 30,615,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675,685 : 14,296,144 = 14,296,144 : x
  2. Step 2: Convert to fraction form
    6,675,685/14,296,144 = 14,296,144/x
  3. Step 3: Cross multiply
    6,675,685x = 14,296,144 × 14,296,144
  4. Step 4: Simplify right side
    6,675,685x = 204,379,733,268,736
  5. Step 5: Solve for x
    x = 204,379,733,268,736/6,675,685
  6. Step 6: Final answer
    x = 30,615,544.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.