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Finding the Third Proportional to 6,317,633.53 and 9,028,044.84

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Solution

The third proportional to 6,317,633.53 and 9,028,044.84 is: 12,901,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317,633.53 : 9,028,044.84 = 9,028,044.84 : x
  2. Step 2: Convert to fraction form
    6,317,633.53/9,028,044.84 = 9,028,044.84/x
  3. Step 3: Cross multiply
    6,317,633.53x = 9,028,044.84 × 9,028,044.84
  4. Step 4: Simplify right side
    6,317,633.53x = 81,505,593,700,760.97
  5. Step 5: Solve for x
    x = 81,505,593,700,760.97/6,317,633.53
  6. Step 6: Final answer
    x = 12,901,285.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.