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Finding the Third Proportional to 923,964,825 and 2,054,513,616

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Solution

The third proportional to 923,964,825 and 2,054,513,616 is: 4,568,384,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,964,825 : 2,054,513,616 = 2,054,513,616 : x
  2. Step 2: Convert to fraction form
    923,964,825/2,054,513,616 = 2,054,513,616/x
  3. Step 3: Cross multiply
    923,964,825x = 2,054,513,616 × 2,054,513,616
  4. Step 4: Simplify right side
    923,964,825x = 4,221,026,198,329,395,200
  5. Step 5: Solve for x
    x = 4,221,026,198,329,395,200/923,964,825
  6. Step 6: Final answer
    x = 4,568,384,081.43

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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.