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Finding the Third Proportional to 1,414,168,974 and 3,073,141,980

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Solution

The third proportional to 1,414,168,974 and 3,073,141,980 is: 6,678,269,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,168,974 : 3,073,141,980 = 3,073,141,980 : x
  2. Step 2: Convert to fraction form
    1,414,168,974/3,073,141,980 = 3,073,141,980/x
  3. Step 3: Cross multiply
    1,414,168,974x = 3,073,141,980 × 3,073,141,980
  4. Step 4: Simplify right side
    1,414,168,974x = 9,444,201,629,238,321,152
  5. Step 5: Solve for x
    x = 9,444,201,629,238,321,152/1,414,168,974
  6. Step 6: Final answer
    x = 6,678,269,572.36

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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.