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Finding the Third Proportional to 5,747,927 and 7,992,034

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Solution

The third proportional to 5,747,927 and 7,992,034 is: 11,112,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747,927 : 7,992,034 = 7,992,034 : x
  2. Step 2: Convert to fraction form
    5,747,927/7,992,034 = 7,992,034/x
  3. Step 3: Cross multiply
    5,747,927x = 7,992,034 × 7,992,034
  4. Step 4: Simplify right side
    5,747,927x = 63,872,607,457,156
  5. Step 5: Solve for x
    x = 63,872,607,457,156/5,747,927
  6. Step 6: Final answer
    x = 11,112,285.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.