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Finding the Third Proportional to 5,497,921 and 11,372,978

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Solution

The third proportional to 5,497,921 and 11,372,978 is: 23,526,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497,921 : 11,372,978 = 11,372,978 : x
  2. Step 2: Convert to fraction form
    5,497,921/11,372,978 = 11,372,978/x
  3. Step 3: Cross multiply
    5,497,921x = 11,372,978 × 11,372,978
  4. Step 4: Simplify right side
    5,497,921x = 129,344,628,588,484
  5. Step 5: Solve for x
    x = 129,344,628,588,484/5,497,921
  6. Step 6: Final answer
    x = 23,526,098.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.