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Finding the Third Proportional to 6,519,240 and 14,640,336

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Solution

The third proportional to 6,519,240 and 14,640,336 is: 32,877,979.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519,240 : 14,640,336 = 14,640,336 : x
  2. Step 2: Convert to fraction form
    6,519,240/14,640,336 = 14,640,336/x
  3. Step 3: Cross multiply
    6,519,240x = 14,640,336 × 14,640,336
  4. Step 4: Simplify right side
    6,519,240x = 214,339,438,192,896
  5. Step 5: Solve for x
    x = 214,339,438,192,896/6,519,240
  6. Step 6: Final answer
    x = 32,877,979.36

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.