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Finding the Third Proportional to 6,593,976 and 14,058,936

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Solution

The third proportional to 6,593,976 and 14,058,936 is: 29,974,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593,976 : 14,058,936 = 14,058,936 : x
  2. Step 2: Convert to fraction form
    6,593,976/14,058,936 = 14,058,936/x
  3. Step 3: Cross multiply
    6,593,976x = 14,058,936 × 14,058,936
  4. Step 4: Simplify right side
    6,593,976x = 197,653,681,452,096
  5. Step 5: Solve for x
    x = 197,653,681,452,096/6,593,976
  6. Step 6: Final answer
    x = 29,974,886.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.