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Finding the Third Proportional to 6,473,568 and 14,166,232

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Solution

The third proportional to 6,473,568 and 14,166,232 is: 31,000,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473,568 : 14,166,232 = 14,166,232 : x
  2. Step 2: Convert to fraction form
    6,473,568/14,166,232 = 14,166,232/x
  3. Step 3: Cross multiply
    6,473,568x = 14,166,232 × 14,166,232
  4. Step 4: Simplify right side
    6,473,568x = 200,682,129,077,824
  5. Step 5: Solve for x
    x = 200,682,129,077,824/6,473,568
  6. Step 6: Final answer
    x = 31,000,234.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.