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Finding the Third Proportional to 6,494,058 and 14,094,738

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Solution

The third proportional to 6,494,058 and 14,094,738 is: 30,591,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494,058 : 14,094,738 = 14,094,738 : x
  2. Step 2: Convert to fraction form
    6,494,058/14,094,738 = 14,094,738/x
  3. Step 3: Cross multiply
    6,494,058x = 14,094,738 × 14,094,738
  4. Step 4: Simplify right side
    6,494,058x = 198,661,639,288,644
  5. Step 5: Solve for x
    x = 198,661,639,288,644/6,494,058
  6. Step 6: Final answer
    x = 30,591,294.27

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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.