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Finding the Third Proportional to 222,054,944 and 481,178,944

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Solution

The third proportional to 222,054,944 and 481,178,944 is: 1,042,684,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,054,944 : 481,178,944 = 481,178,944 : x
  2. Step 2: Convert to fraction form
    222,054,944/481,178,944 = 481,178,944/x
  3. Step 3: Cross multiply
    222,054,944x = 481,178,944 × 481,178,944
  4. Step 4: Simplify right side
    222,054,944x = 231,533,176,148,955,136
  5. Step 5: Solve for x
    x = 231,533,176,148,955,136/222,054,944
  6. Step 6: Final answer
    x = 1,042,684,175.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.