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Finding the Third Proportional to 468,263,996 and 1,008,449,320

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Solution

The third proportional to 468,263,996 and 1,008,449,320 is: 2,171,787,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,263,996 : 1,008,449,320 = 1,008,449,320 : x
  2. Step 2: Convert to fraction form
    468,263,996/1,008,449,320 = 1,008,449,320/x
  3. Step 3: Cross multiply
    468,263,996x = 1,008,449,320 × 1,008,449,320
  4. Step 4: Simplify right side
    468,263,996x = 1,016,970,031,008,462,336
  5. Step 5: Solve for x
    x = 1,016,970,031,008,462,336/468,263,996
  6. Step 6: Final answer
    x = 2,171,787,794.27

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