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Finding the Third Proportional to 2,206,555,640 and 3,290,698,636

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Solution

The third proportional to 2,206,555,640 and 3,290,698,636 is: 4,907,511,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,555,640 : 3,290,698,636 = 3,290,698,636 : x
  2. Step 2: Convert to fraction form
    2,206,555,640/3,290,698,636 = 3,290,698,636/x
  3. Step 3: Cross multiply
    2,206,555,640x = 3,290,698,636 × 3,290,698,636
  4. Step 4: Simplify right side
    2,206,555,640x = 10,828,697,512,972,261,376
  5. Step 5: Solve for x
    x = 10,828,697,512,972,261,376/2,206,555,640
  6. Step 6: Final answer
    x = 4,907,511,651.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.