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Finding the Third Proportional to 2,284,275,879 and 3,082,024,494

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Solution

The third proportional to 2,284,275,879 and 3,082,024,494 is: 4,158,374,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,275,879 : 3,082,024,494 = 3,082,024,494 : x
  2. Step 2: Convert to fraction form
    2,284,275,879/3,082,024,494 = 3,082,024,494/x
  3. Step 3: Cross multiply
    2,284,275,879x = 3,082,024,494 × 3,082,024,494
  4. Step 4: Simplify right side
    2,284,275,879x = 9,498,874,981,615,955,968
  5. Step 5: Solve for x
    x = 9,498,874,981,615,955,968/2,284,275,879
  6. Step 6: Final answer
    x = 4,158,374,681.86

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.