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Finding the Third Proportional to 6,393,444 and 13,693,764

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Solution

The third proportional to 6,393,444 and 13,693,764 is: 29,329,915.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,444 : 13,693,764 = 13,693,764 : x
  2. Step 2: Convert to fraction form
    6,393,444/13,693,764 = 13,693,764/x
  3. Step 3: Cross multiply
    6,393,444x = 13,693,764 × 13,693,764
  4. Step 4: Simplify right side
    6,393,444x = 187,519,172,487,696
  5. Step 5: Solve for x
    x = 187,519,172,487,696/6,393,444
  6. Step 6: Final answer
    x = 29,329,915.53

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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.