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Finding the Third Proportional to 6,993,807,196 and 14,268,555,008

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Solution

The third proportional to 6,993,807,196 and 14,268,555,008 is: 29,110,276,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993,807,196 : 14,268,555,008 = 14,268,555,008 : x
  2. Step 2: Convert to fraction form
    6,993,807,196/14,268,555,008 = 14,268,555,008/x
  3. Step 3: Cross multiply
    6,993,807,196x = 14,268,555,008 × 14,268,555,008
  4. Step 4: Simplify right side
    6,993,807,196x = 203,591,662,016,321,880,064
  5. Step 5: Solve for x
    x = 203,591,662,016,321,880,064/6,993,807,196
  6. Step 6: Final answer
    x = 29,110,276,607.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.