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Finding the Third Proportional to 5,206,531.50 and 11,213,160

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Solution

The third proportional to 5,206,531.50 and 11,213,160 is: 24,149,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,531.50 : 11,213,160 = 11,213,160 : x
  2. Step 2: Convert to fraction form
    5,206,531.50/11,213,160 = 11,213,160/x
  3. Step 3: Cross multiply
    5,206,531.50x = 11,213,160 × 11,213,160
  4. Step 4: Simplify right side
    5,206,531.50x = 125,734,957,185,600
  5. Step 5: Solve for x
    x = 125,734,957,185,600/5,206,531.50
  6. Step 6: Final answer
    x = 24,149,466.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.