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Finding the Third Proportional to 5,871,345 and 8,268,189

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Solution

The third proportional to 5,871,345 and 8,268,189 is: 11,643,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871,345 : 8,268,189 = 8,268,189 : x
  2. Step 2: Convert to fraction form
    5,871,345/8,268,189 = 8,268,189/x
  3. Step 3: Cross multiply
    5,871,345x = 8,268,189 × 8,268,189
  4. Step 4: Simplify right side
    5,871,345x = 68,362,949,339,721
  5. Step 5: Solve for x
    x = 68,362,949,339,721/5,871,345
  6. Step 6: Final answer
    x = 11,643,490.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.