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Finding the Third Proportional to 6,414,791.63 and 13,958,940.94

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Solution

The third proportional to 6,414,791.63 and 13,958,940.94 is: 30,375,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414,791.63 : 13,958,940.94 = 13,958,940.94 : x
  2. Step 2: Convert to fraction form
    6,414,791.63/13,958,940.94 = 13,958,940.94/x
  3. Step 3: Cross multiply
    6,414,791.63x = 13,958,940.94 × 13,958,940.94
  4. Step 4: Simplify right side
    6,414,791.63x = 194,852,032,096,613.38
  5. Step 5: Solve for x
    x = 194,852,032,096,613.38/6,414,791.63
  6. Step 6: Final answer
    x = 30,375,426.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.