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Finding the Third Proportional to 474,761,736 and 1,012,233,024

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Solution

The third proportional to 474,761,736 and 1,012,233,024 is: 2,158,168,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,761,736 : 1,012,233,024 = 1,012,233,024 : x
  2. Step 2: Convert to fraction form
    474,761,736/1,012,233,024 = 1,012,233,024/x
  3. Step 3: Cross multiply
    474,761,736x = 1,012,233,024 × 1,012,233,024
  4. Step 4: Simplify right side
    474,761,736x = 1,024,615,694,876,184,576
  5. Step 5: Solve for x
    x = 1,024,615,694,876,184,576/474,761,736
  6. Step 6: Final answer
    x = 2,158,168,228.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.