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Finding the Third Proportional to 7,269,727 and 11,405,008

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Solution

The third proportional to 7,269,727 and 11,405,008 is: 17,892,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269,727 : 11,405,008 = 11,405,008 : x
  2. Step 2: Convert to fraction form
    7,269,727/11,405,008 = 11,405,008/x
  3. Step 3: Cross multiply
    7,269,727x = 11,405,008 × 11,405,008
  4. Step 4: Simplify right side
    7,269,727x = 130,074,207,480,064
  5. Step 5: Solve for x
    x = 130,074,207,480,064/7,269,727
  6. Step 6: Final answer
    x = 17,892,584.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.