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Finding the Third Proportional to 3,069,704.25 and 6,684,003.56

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Solution

The third proportional to 3,069,704.25 and 6,684,003.56 is: 14,553,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069,704.25 : 6,684,003.56 = 6,684,003.56 : x
  2. Step 2: Convert to fraction form
    3,069,704.25/6,684,003.56 = 6,684,003.56/x
  3. Step 3: Cross multiply
    3,069,704.25x = 6,684,003.56 × 6,684,003.56
  4. Step 4: Simplify right side
    3,069,704.25x = 44,675,903,623,512.69
  5. Step 5: Solve for x
    x = 44,675,903,623,512.69/3,069,704.25
  6. Step 6: Final answer
    x = 14,553,813.65

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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.