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Finding the Third Proportional to 1,414,168,977 and 3,073,141,986

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Solution

The third proportional to 1,414,168,977 and 3,073,141,986 is: 6,678,269,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,168,977 : 3,073,141,986 = 3,073,141,986 : x
  2. Step 2: Convert to fraction form
    1,414,168,977/3,073,141,986 = 3,073,141,986/x
  3. Step 3: Cross multiply
    1,414,168,977x = 3,073,141,986 × 3,073,141,986
  4. Step 4: Simplify right side
    1,414,168,977x = 9,444,201,666,116,024,320
  5. Step 5: Solve for x
    x = 9,444,201,666,116,024,320/1,414,168,977
  6. Step 6: Final answer
    x = 6,678,269,584.27

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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.