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Finding the Third Proportional to 2,331,424 and 5,017,142

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Solution

The third proportional to 2,331,424 and 5,017,142 is: 10,796,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331,424 : 5,017,142 = 5,017,142 : x
  2. Step 2: Convert to fraction form
    2,331,424/5,017,142 = 5,017,142/x
  3. Step 3: Cross multiply
    2,331,424x = 5,017,142 × 5,017,142
  4. Step 4: Simplify right side
    2,331,424x = 25,171,713,848,164
  5. Step 5: Solve for x
    x = 25,171,713,848,164/2,331,424
  6. Step 6: Final answer
    x = 10,796,712.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.