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Finding the Third Proportional to 6,077,435.06 and 9,270,498.09

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Solution

The third proportional to 6,077,435.06 and 9,270,498.09 is: 14,141,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077,435.06 : 9,270,498.09 = 9,270,498.09 : x
  2. Step 2: Convert to fraction form
    6,077,435.06/9,270,498.09 = 9,270,498.09/x
  3. Step 3: Cross multiply
    6,077,435.06x = 9,270,498.09 × 9,270,498.09
  4. Step 4: Simplify right side
    6,077,435.06x = 85,942,134,906,222.39
  5. Step 5: Solve for x
    x = 85,942,134,906,222.39/6,077,435.06
  6. Step 6: Final answer
    x = 14,141,185.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.