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Finding the Third Proportional to 5,397,005 and 11,690,817.50

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Solution

The third proportional to 5,397,005 and 11,690,817.50 is: 25,324,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397,005 : 11,690,817.50 = 11,690,817.50 : x
  2. Step 2: Convert to fraction form
    5,397,005/11,690,817.50 = 11,690,817.50/x
  3. Step 3: Cross multiply
    5,397,005x = 11,690,817.50 × 11,690,817.50
  4. Step 4: Simplify right side
    5,397,005x = 136,675,213,818,306.25
  5. Step 5: Solve for x
    x = 136,675,213,818,306.25/5,397,005
  6. Step 6: Final answer
    x = 25,324,270.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.