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Finding the Third Proportional to 6,519,986 and 14,160,916

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Solution

The third proportional to 6,519,986 and 14,160,916 is: 30,756,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519,986 : 14,160,916 = 14,160,916 : x
  2. Step 2: Convert to fraction form
    6,519,986/14,160,916 = 14,160,916/x
  3. Step 3: Cross multiply
    6,519,986x = 14,160,916 × 14,160,916
  4. Step 4: Simplify right side
    6,519,986x = 200,531,541,959,056
  5. Step 5: Solve for x
    x = 200,531,541,959,056/6,519,986
  6. Step 6: Final answer
    x = 30,756,437.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.