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Finding the Third Proportional to 6,934,734 and 11,044,259

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Solution

The third proportional to 6,934,734 and 11,044,259 is: 17,589,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934,734 : 11,044,259 = 11,044,259 : x
  2. Step 2: Convert to fraction form
    6,934,734/11,044,259 = 11,044,259/x
  3. Step 3: Cross multiply
    6,934,734x = 11,044,259 × 11,044,259
  4. Step 4: Simplify right side
    6,934,734x = 121,975,656,859,081
  5. Step 5: Solve for x
    x = 121,975,656,859,081/6,934,734
  6. Step 6: Final answer
    x = 17,589,089.48

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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.