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Finding the Third Proportional to 6,344,654,408 and 13,743,361,168

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Solution

The third proportional to 6,344,654,408 and 13,743,361,168 is: 29,769,939,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344,654,408 : 13,743,361,168 = 13,743,361,168 : x
  2. Step 2: Convert to fraction form
    6,344,654,408/13,743,361,168 = 13,743,361,168/x
  3. Step 3: Cross multiply
    6,344,654,408x = 13,743,361,168 × 13,743,361,168
  4. Step 4: Simplify right side
    6,344,654,408x = 188,879,976,194,090,336,256
  5. Step 5: Solve for x
    x = 188,879,976,194,090,336,256/6,344,654,408
  6. Step 6: Final answer
    x = 29,769,939,235.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.