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Finding the Third Proportional to 5,399,993 and 11,407,000

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Solution

The third proportional to 5,399,993 and 11,407,000 is: 24,096,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399,993 : 11,407,000 = 11,407,000 : x
  2. Step 2: Convert to fraction form
    5,399,993/11,407,000 = 11,407,000/x
  3. Step 3: Cross multiply
    5,399,993x = 11,407,000 × 11,407,000
  4. Step 4: Simplify right side
    5,399,993x = 130,119,649,000,000
  5. Step 5: Solve for x
    x = 130,119,649,000,000/5,399,993
  6. Step 6: Final answer
    x = 24,096,262.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.