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Finding the Third Proportional to 6,177,042 and 9,310,923

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Solution

The third proportional to 6,177,042 and 9,310,923 is: 14,034,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177,042 : 9,310,923 = 9,310,923 : x
  2. Step 2: Convert to fraction form
    6,177,042/9,310,923 = 9,310,923/x
  3. Step 3: Cross multiply
    6,177,042x = 9,310,923 × 9,310,923
  4. Step 4: Simplify right side
    6,177,042x = 86,693,287,111,929
  5. Step 5: Solve for x
    x = 86,693,287,111,929/6,177,042
  6. Step 6: Final answer
    x = 14,034,757.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.