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Finding the Third Proportional to 6,798,194,768 and 14,629,511,148

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Solution

The third proportional to 6,798,194,768 and 14,629,511,148 is: 31,482,269,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798,194,768 : 14,629,511,148 = 14,629,511,148 : x
  2. Step 2: Convert to fraction form
    6,798,194,768/14,629,511,148 = 14,629,511,148/x
  3. Step 3: Cross multiply
    6,798,194,768x = 14,629,511,148 × 14,629,511,148
  4. Step 4: Simplify right side
    6,798,194,768x = 214,022,596,429,456,277,504
  5. Step 5: Solve for x
    x = 214,022,596,429,456,277,504/6,798,194,768
  6. Step 6: Final answer
    x = 31,482,269,004.25

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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.