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Finding the Third Proportional to 7,667,874 and 16,413,122

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Solution

The third proportional to 7,667,874 and 16,413,122 is: 35,132,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667,874 : 16,413,122 = 16,413,122 : x
  2. Step 2: Convert to fraction form
    7,667,874/16,413,122 = 16,413,122/x
  3. Step 3: Cross multiply
    7,667,874x = 16,413,122 × 16,413,122
  4. Step 4: Simplify right side
    7,667,874x = 269,390,573,786,884
  5. Step 5: Solve for x
    x = 269,390,573,786,884/7,667,874
  6. Step 6: Final answer
    x = 35,132,368.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.