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Finding the Third Proportional to 226,527,451,615 and 490,759,085,106

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Solution

The third proportional to 226,527,451,615 and 490,759,085,106 is: 1,063,202,176,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,527,451,615 : 490,759,085,106 = 490,759,085,106 : x
  2. Step 2: Convert to fraction form
    226,527,451,615/490,759,085,106 = 490,759,085,106/x
  3. Step 3: Cross multiply
    226,527,451,615x = 490,759,085,106 × 490,759,085,106
  4. Step 4: Simplify right side
    226,527,451,615x = 240,844,479,614,078,165,188,608
  5. Step 5: Solve for x
    x = 240,844,479,614,078,165,188,608/226,527,451,615
  6. Step 6: Final answer
    x = 1,063,202,176,588.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.