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Finding the Third Proportional to 2,505,138 and 5,584,008

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Solution

The third proportional to 2,505,138 and 5,584,008 is: 12,446,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505,138 : 5,584,008 = 5,584,008 : x
  2. Step 2: Convert to fraction form
    2,505,138/5,584,008 = 5,584,008/x
  3. Step 3: Cross multiply
    2,505,138x = 5,584,008 × 5,584,008
  4. Step 4: Simplify right side
    2,505,138x = 31,181,145,344,064
  5. Step 5: Solve for x
    x = 31,181,145,344,064/2,505,138
  6. Step 6: Final answer
    x = 12,446,877.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.