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Finding the Third Proportional to 923,964,827 and 2,054,513,620

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Solution

The third proportional to 923,964,827 and 2,054,513,620 is: 4,568,384,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,964,827 : 2,054,513,620 = 2,054,513,620 : x
  2. Step 2: Convert to fraction form
    923,964,827/2,054,513,620 = 2,054,513,620/x
  3. Step 3: Cross multiply
    923,964,827x = 2,054,513,620 × 2,054,513,620
  4. Step 4: Simplify right side
    923,964,827x = 4,221,026,214,765,504,512
  5. Step 5: Solve for x
    x = 4,221,026,214,765,504,512/923,964,827
  6. Step 6: Final answer
    x = 4,568,384,089.33

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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.