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Finding the Third Proportional to 5,497,924 and 11,372,983

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Solution

The third proportional to 5,497,924 and 11,372,983 is: 23,526,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497,924 : 11,372,983 = 11,372,983 : x
  2. Step 2: Convert to fraction form
    5,497,924/11,372,983 = 11,372,983/x
  3. Step 3: Cross multiply
    5,497,924x = 11,372,983 × 11,372,983
  4. Step 4: Simplify right side
    5,497,924x = 129,344,742,318,289
  5. Step 5: Solve for x
    x = 129,344,742,318,289/5,497,924
  6. Step 6: Final answer
    x = 23,526,105.91

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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.