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Finding the Third Proportional to 468,263,994 and 1,008,449,316

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Solution

The third proportional to 468,263,994 and 1,008,449,316 is: 2,171,787,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,263,994 : 1,008,449,316 = 1,008,449,316 : x
  2. Step 2: Convert to fraction form
    468,263,994/1,008,449,316 = 1,008,449,316/x
  3. Step 3: Cross multiply
    468,263,994x = 1,008,449,316 × 1,008,449,316
  4. Step 4: Simplify right side
    468,263,994x = 1,016,970,022,940,867,840
  5. Step 5: Solve for x
    x = 1,016,970,022,940,867,840/468,263,994
  6. Step 6: Final answer
    x = 2,171,787,786.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.