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Finding the Third Proportional to 6,741,324 and 14,560,042

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Solution

The third proportional to 6,741,324 and 14,560,042 is: 31,447,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741,324 : 14,560,042 = 14,560,042 : x
  2. Step 2: Convert to fraction form
    6,741,324/14,560,042 = 14,560,042/x
  3. Step 3: Cross multiply
    6,741,324x = 14,560,042 × 14,560,042
  4. Step 4: Simplify right side
    6,741,324x = 211,994,823,041,764
  5. Step 5: Solve for x
    x = 211,994,823,041,764/6,741,324
  6. Step 6: Final answer
    x = 31,447,060.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.