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Finding the Third Proportional to 6,149,768.06 and 9,546,961.22

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Solution

The third proportional to 6,149,768.06 and 9,546,961.22 is: 14,820,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,768.06 : 9,546,961.22 = 9,546,961.22 : x
  2. Step 2: Convert to fraction form
    6,149,768.06/9,546,961.22 = 9,546,961.22/x
  3. Step 3: Cross multiply
    6,149,768.06x = 9,546,961.22 × 9,546,961.22
  4. Step 4: Simplify right side
    6,149,768.06x = 91,144,468,512,316.48
  5. Step 5: Solve for x
    x = 91,144,468,512,316.48/6,149,768.06
  6. Step 6: Final answer
    x = 14,820,797.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.