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Finding the Third Proportional to 4,790,821,246 and 10,425,246,763

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Solution

The third proportional to 4,790,821,246 and 10,425,246,763 is: 22,686,250,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,790,821,246 : 10,425,246,763 = 10,425,246,763 : x
  2. Step 2: Convert to fraction form
    4,790,821,246/10,425,246,763 = 10,425,246,763/x
  3. Step 3: Cross multiply
    4,790,821,246x = 10,425,246,763 × 10,425,246,763
  4. Step 4: Simplify right side
    4,790,821,246x = 108,685,770,069,441,970,176
  5. Step 5: Solve for x
    x = 108,685,770,069,441,970,176/4,790,821,246
  6. Step 6: Final answer
    x = 22,686,250,329.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.