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Finding the Third Proportional to 226,995,013 and 472,106,530

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Solution

The third proportional to 226,995,013 and 472,106,530 is: 981,891,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,995,013 : 472,106,530 = 472,106,530 : x
  2. Step 2: Convert to fraction form
    226,995,013/472,106,530 = 472,106,530/x
  3. Step 3: Cross multiply
    226,995,013x = 472,106,530 × 472,106,530
  4. Step 4: Simplify right side
    226,995,013x = 222,884,575,668,640,896
  5. Step 5: Solve for x
    x = 222,884,575,668,640,896/226,995,013
  6. Step 6: Final answer
    x = 981,891,948.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.