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Finding the Third Proportional to 6,279,814 and 13,468,244

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Solution

The third proportional to 6,279,814 and 13,468,244 is: 28,885,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279,814 : 13,468,244 = 13,468,244 : x
  2. Step 2: Convert to fraction form
    6,279,814/13,468,244 = 13,468,244/x
  3. Step 3: Cross multiply
    6,279,814x = 13,468,244 × 13,468,244
  4. Step 4: Simplify right side
    6,279,814x = 181,393,596,443,536
  5. Step 5: Solve for x
    x = 181,393,596,443,536/6,279,814
  6. Step 6: Final answer
    x = 28,885,186.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.