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Finding the Third Proportional to 6,485,270 and 14,078,188

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Solution

The third proportional to 6,485,270 and 14,078,188 is: 30,560,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485,270 : 14,078,188 = 14,078,188 : x
  2. Step 2: Convert to fraction form
    6,485,270/14,078,188 = 14,078,188/x
  3. Step 3: Cross multiply
    6,485,270x = 14,078,188 × 14,078,188
  4. Step 4: Simplify right side
    6,485,270x = 198,195,377,363,344
  5. Step 5: Solve for x
    x = 198,195,377,363,344/6,485,270
  6. Step 6: Final answer
    x = 30,560,852.11

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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.