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Finding the Third Proportional to 4,222,125 and 9,266,319

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Solution

The third proportional to 4,222,125 and 9,266,319 is: 20,336,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222,125 : 9,266,319 = 9,266,319 : x
  2. Step 2: Convert to fraction form
    4,222,125/9,266,319 = 9,266,319/x
  3. Step 3: Cross multiply
    4,222,125x = 9,266,319 × 9,266,319
  4. Step 4: Simplify right side
    4,222,125x = 85,864,667,809,761
  5. Step 5: Solve for x
    x = 85,864,667,809,761/4,222,125
  6. Step 6: Final answer
    x = 20,336,836.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.