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Finding the Third Proportional to 12,469,777.88 and 19,857,225.94

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Solution

The third proportional to 12,469,777.88 and 19,857,225.94 is: 31,621,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469,777.88 : 19,857,225.94 = 19,857,225.94 : x
  2. Step 2: Convert to fraction form
    12,469,777.88/19,857,225.94 = 19,857,225.94/x
  3. Step 3: Cross multiply
    12,469,777.88x = 19,857,225.94 × 19,857,225.94
  4. Step 4: Simplify right side
    12,469,777.88x = 394,309,421,932,922.75
  5. Step 5: Solve for x
    x = 394,309,421,932,922.75/12,469,777.88
  6. Step 6: Final answer
    x = 31,621,206.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.