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Finding the Third Proportional to 13,732,543.50 and 20,775,558

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Solution

The third proportional to 13,732,543.50 and 20,775,558 is: 31,430,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732,543.50 : 20,775,558 = 20,775,558 : x
  2. Step 2: Convert to fraction form
    13,732,543.50/20,775,558 = 20,775,558/x
  3. Step 3: Cross multiply
    13,732,543.50x = 20,775,558 × 20,775,558
  4. Step 4: Simplify right side
    13,732,543.50x = 431,623,810,211,364
  5. Step 5: Solve for x
    x = 431,623,810,211,364/13,732,543.50
  6. Step 6: Final answer
    x = 31,430,725.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.