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Finding the Third Proportional to 6,511,539 and 14,144,034

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Solution

The third proportional to 6,511,539 and 14,144,034 is: 30,722,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,539 : 14,144,034 = 14,144,034 : x
  2. Step 2: Convert to fraction form
    6,511,539/14,144,034 = 14,144,034/x
  3. Step 3: Cross multiply
    6,511,539x = 14,144,034 × 14,144,034
  4. Step 4: Simplify right side
    6,511,539x = 200,053,697,793,156
  5. Step 5: Solve for x
    x = 200,053,697,793,156/6,511,539
  6. Step 6: Final answer
    x = 30,722,951.64

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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.