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Finding the Third Proportional to 9,650,900.25 and 21,214,516.88

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Solution

The third proportional to 9,650,900.25 and 21,214,516.88 is: 46,633,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650,900.25 : 21,214,516.88 = 21,214,516.88 : x
  2. Step 2: Convert to fraction form
    9,650,900.25/21,214,516.88 = 21,214,516.88/x
  3. Step 3: Cross multiply
    9,650,900.25x = 21,214,516.88 × 21,214,516.88
  4. Step 4: Simplify right side
    9,650,900.25x = 450,055,726,239,659.75
  5. Step 5: Solve for x
    x = 450,055,726,239,659.75/9,650,900.25
  6. Step 6: Final answer
    x = 46,633,548.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.