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Finding the Third Proportional to 6,320,178 and 14,006,964

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Solution

The third proportional to 6,320,178 and 14,006,964 is: 31,042,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320,178 : 14,006,964 = 14,006,964 : x
  2. Step 2: Convert to fraction form
    6,320,178/14,006,964 = 14,006,964/x
  3. Step 3: Cross multiply
    6,320,178x = 14,006,964 × 14,006,964
  4. Step 4: Simplify right side
    6,320,178x = 196,195,040,497,296
  5. Step 5: Solve for x
    x = 196,195,040,497,296/6,320,178
  6. Step 6: Final answer
    x = 31,042,644.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.