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Finding the Third Proportional to 14,253,834 and 31,080,444

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Solution

The third proportional to 14,253,834 and 31,080,444 is: 67,770,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253,834 : 31,080,444 = 31,080,444 : x
  2. Step 2: Convert to fraction form
    14,253,834/31,080,444 = 31,080,444/x
  3. Step 3: Cross multiply
    14,253,834x = 31,080,444 × 31,080,444
  4. Step 4: Simplify right side
    14,253,834x = 965,993,999,237,136
  5. Step 5: Solve for x
    x = 965,993,999,237,136/14,253,834
  6. Step 6: Final answer
    x = 67,770,818.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.