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Finding the Third Proportional to 9,756,571.50 and 20,287,320.75

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Solution

The third proportional to 9,756,571.50 and 20,287,320.75 is: 42,184,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756,571.50 : 20,287,320.75 = 20,287,320.75 : x
  2. Step 2: Convert to fraction form
    9,756,571.50/20,287,320.75 = 20,287,320.75/x
  3. Step 3: Cross multiply
    9,756,571.50x = 20,287,320.75 × 20,287,320.75
  4. Step 4: Simplify right side
    9,756,571.50x = 411,575,383,213,380.56
  5. Step 5: Solve for x
    x = 411,575,383,213,380.56/9,756,571.50
  6. Step 6: Final answer
    x = 42,184,427.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.