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Finding the Third Proportional to 7,777,857.94 and 11,204,266.78

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Solution

The third proportional to 7,777,857.94 and 11,204,266.78 is: 16,140,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777,857.94 : 11,204,266.78 = 11,204,266.78 : x
  2. Step 2: Convert to fraction form
    7,777,857.94/11,204,266.78 = 11,204,266.78/x
  3. Step 3: Cross multiply
    7,777,857.94x = 11,204,266.78 × 11,204,266.78
  4. Step 4: Simplify right side
    7,777,857.94x = 125,535,594,105,422.23
  5. Step 5: Solve for x
    x = 125,535,594,105,422.23/7,777,857.94
  6. Step 6: Final answer
    x = 16,140,124.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.