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Finding the Third Proportional to 3,102,081 and 6,561,858

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Solution

The third proportional to 3,102,081 and 6,561,858 is: 13,880,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,081 : 6,561,858 = 6,561,858 : x
  2. Step 2: Convert to fraction form
    3,102,081/6,561,858 = 6,561,858/x
  3. Step 3: Cross multiply
    3,102,081x = 6,561,858 × 6,561,858
  4. Step 4: Simplify right side
    3,102,081x = 43,057,980,412,164
  5. Step 5: Solve for x
    x = 43,057,980,412,164/3,102,081
  6. Step 6: Final answer
    x = 13,880,353.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.