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Finding the Third Proportional to 13,531,738 and 20,984,976

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Solution

The third proportional to 13,531,738 and 20,984,976 is: 32,543,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531,738 : 20,984,976 = 20,984,976 : x
  2. Step 2: Convert to fraction form
    13,531,738/20,984,976 = 20,984,976/x
  3. Step 3: Cross multiply
    13,531,738x = 20,984,976 × 20,984,976
  4. Step 4: Simplify right side
    13,531,738x = 440,369,217,720,576
  5. Step 5: Solve for x
    x = 440,369,217,720,576/13,531,738
  6. Step 6: Final answer
    x = 32,543,433.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.