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Finding the Third Proportional to 308,143,576 and 627,048,816

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Solution

The third proportional to 308,143,576 and 627,048,816 is: 1,275,996,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,143,576 : 627,048,816 = 627,048,816 : x
  2. Step 2: Convert to fraction form
    308,143,576/627,048,816 = 627,048,816/x
  3. Step 3: Cross multiply
    308,143,576x = 627,048,816 × 627,048,816
  4. Step 4: Simplify right side
    308,143,576x = 393,190,217,647,001,856
  5. Step 5: Solve for x
    x = 393,190,217,647,001,856/308,143,576
  6. Step 6: Final answer
    x = 1,275,996,802.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.