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Finding the Third Proportional to 6,336,929 and 13,684,063

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Solution

The third proportional to 6,336,929 and 13,684,063 is: 29,549,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336,929 : 13,684,063 = 13,684,063 : x
  2. Step 2: Convert to fraction form
    6,336,929/13,684,063 = 13,684,063/x
  3. Step 3: Cross multiply
    6,336,929x = 13,684,063 × 13,684,063
  4. Step 4: Simplify right side
    6,336,929x = 187,253,580,187,969
  5. Step 5: Solve for x
    x = 187,253,580,187,969/6,336,929
  6. Step 6: Final answer
    x = 29,549,578.38

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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.