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Finding the Third Proportional to 3,760,722.75 and 8,119,953.75

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Solution

The third proportional to 3,760,722.75 and 8,119,953.75 is: 17,532,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760,722.75 : 8,119,953.75 = 8,119,953.75 : x
  2. Step 2: Convert to fraction form
    3,760,722.75/8,119,953.75 = 8,119,953.75/x
  3. Step 3: Cross multiply
    3,760,722.75x = 8,119,953.75 × 8,119,953.75
  4. Step 4: Simplify right side
    3,760,722.75x = 65,933,648,902,139.06
  5. Step 5: Solve for x
    x = 65,933,648,902,139.06/3,760,722.75
  6. Step 6: Final answer
    x = 17,532,174.87

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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.