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Finding the Third Proportional to 8,263,951.75 and 17,855,777

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Solution

The third proportional to 8,263,951.75 and 17,855,777 is: 38,580,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263,951.75 : 17,855,777 = 17,855,777 : x
  2. Step 2: Convert to fraction form
    8,263,951.75/17,855,777 = 17,855,777/x
  3. Step 3: Cross multiply
    8,263,951.75x = 17,855,777 × 17,855,777
  4. Step 4: Simplify right side
    8,263,951.75x = 318,828,772,273,729
  5. Step 5: Solve for x
    x = 318,828,772,273,729/8,263,951.75
  6. Step 6: Final answer
    x = 38,580,667.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.