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Finding the Third Proportional to 923,964,828 and 2,054,513,622

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Solution

The third proportional to 923,964,828 and 2,054,513,622 is: 4,568,384,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,964,828 : 2,054,513,622 = 2,054,513,622 : x
  2. Step 2: Convert to fraction form
    923,964,828/2,054,513,622 = 2,054,513,622/x
  3. Step 3: Cross multiply
    923,964,828x = 2,054,513,622 × 2,054,513,622
  4. Step 4: Simplify right side
    923,964,828x = 4,221,026,222,983,558,656
  5. Step 5: Solve for x
    x = 4,221,026,222,983,558,656/923,964,828
  6. Step 6: Final answer
    x = 4,568,384,093.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.