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Finding the Third Proportional to 6,993,807,210 and 14,268,555,036

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Solution

The third proportional to 6,993,807,210 and 14,268,555,036 is: 29,110,276,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993,807,210 : 14,268,555,036 = 14,268,555,036 : x
  2. Step 2: Convert to fraction form
    6,993,807,210/14,268,555,036 = 14,268,555,036/x
  3. Step 3: Cross multiply
    6,993,807,210x = 14,268,555,036 × 14,268,555,036
  4. Step 4: Simplify right side
    6,993,807,210x = 203,591,662,815,360,974,848
  5. Step 5: Solve for x
    x = 203,591,662,815,360,974,848/6,993,807,210
  6. Step 6: Final answer
    x = 29,110,276,663.65

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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.