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Finding the Third Proportional to 6,798,194,766 and 14,629,511,144

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Solution

The third proportional to 6,798,194,766 and 14,629,511,144 is: 31,482,268,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798,194,766 : 14,629,511,144 = 14,629,511,144 : x
  2. Step 2: Convert to fraction form
    6,798,194,766/14,629,511,144 = 14,629,511,144/x
  3. Step 3: Cross multiply
    6,798,194,766x = 14,629,511,144 × 14,629,511,144
  4. Step 4: Simplify right side
    6,798,194,766x = 214,022,596,312,420,188,160
  5. Step 5: Solve for x
    x = 214,022,596,312,420,188,160/6,798,194,766
  6. Step 6: Final answer
    x = 31,482,268,996.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.