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Finding the Third Proportional to 277,664,022 and 406,275,003

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Solution

The third proportional to 277,664,022 and 406,275,003 is: 594,457,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,664,022 : 406,275,003 = 406,275,003 : x
  2. Step 2: Convert to fraction form
    277,664,022/406,275,003 = 406,275,003/x
  3. Step 3: Cross multiply
    277,664,022x = 406,275,003 × 406,275,003
  4. Step 4: Simplify right side
    277,664,022x = 165,059,378,062,650,016
  5. Step 5: Solve for x
    x = 165,059,378,062,650,016/277,664,022
  6. Step 6: Final answer
    x = 594,457,203.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.