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Finding the Third Proportional to 7,667,859 and 16,413,058.50

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Solution

The third proportional to 7,667,859 and 16,413,058.50 is: 35,132,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667,859 : 16,413,058.50 = 16,413,058.50 : x
  2. Step 2: Convert to fraction form
    7,667,859/16,413,058.50 = 16,413,058.50/x
  3. Step 3: Cross multiply
    7,667,859x = 16,413,058.50 × 16,413,058.50
  4. Step 4: Simplify right side
    7,667,859x = 269,388,489,324,422.25
  5. Step 5: Solve for x
    x = 269,388,489,324,422.25/7,667,859
  6. Step 6: Final answer
    x = 35,132,165.23

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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.