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Finding the Third Proportional to 3,115,215 and 6,761,871

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Solution

The third proportional to 3,115,215 and 6,761,871 is: 14,677,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115,215 : 6,761,871 = 6,761,871 : x
  2. Step 2: Convert to fraction form
    3,115,215/6,761,871 = 6,761,871/x
  3. Step 3: Cross multiply
    3,115,215x = 6,761,871 × 6,761,871
  4. Step 4: Simplify right side
    3,115,215x = 45,722,899,420,641
  5. Step 5: Solve for x
    x = 45,722,899,420,641/3,115,215
  6. Step 6: Final answer
    x = 14,677,285.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.