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Finding the Third Proportional to 6,934,736 and 11,044,260

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Solution

The third proportional to 6,934,736 and 11,044,260 is: 17,589,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934,736 : 11,044,260 = 11,044,260 : x
  2. Step 2: Convert to fraction form
    6,934,736/11,044,260 = 11,044,260/x
  3. Step 3: Cross multiply
    6,934,736x = 11,044,260 × 11,044,260
  4. Step 4: Simplify right side
    6,934,736x = 121,975,678,947,600
  5. Step 5: Solve for x
    x = 121,975,678,947,600/6,934,736
  6. Step 6: Final answer
    x = 17,589,087.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.