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Finding the Third Proportional to 6,514,913.53 and 14,039,605.97

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Solution

The third proportional to 6,514,913.53 and 14,039,605.97 is: 30,255,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514,913.53 : 14,039,605.97 = 14,039,605.97 : x
  2. Step 2: Convert to fraction form
    6,514,913.53/14,039,605.97 = 14,039,605.97/x
  3. Step 3: Cross multiply
    6,514,913.53x = 14,039,605.97 × 14,039,605.97
  4. Step 4: Simplify right side
    6,514,913.53x = 197,110,535,757,760.62
  5. Step 5: Solve for x
    x = 197,110,535,757,760.62/6,514,913.53
  6. Step 6: Final answer
    x = 30,255,280.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.