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Finding the Third Proportional to 3,183,546 and 6,871,251

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Solution

The third proportional to 3,183,546 and 6,871,251 is: 14,830,660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183,546 : 6,871,251 = 6,871,251 : x
  2. Step 2: Convert to fraction form
    3,183,546/6,871,251 = 6,871,251/x
  3. Step 3: Cross multiply
    3,183,546x = 6,871,251 × 6,871,251
  4. Step 4: Simplify right side
    3,183,546x = 47,214,090,305,001
  5. Step 5: Solve for x
    x = 47,214,090,305,001/3,183,546
  6. Step 6: Final answer
    x = 14,830,660.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.