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Finding the Third Proportional to 647,741,208 and 1,410,489,453

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Solution

The third proportional to 647,741,208 and 1,410,489,453 is: 3,071,412,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,741,208 : 1,410,489,453 = 1,410,489,453 : x
  2. Step 2: Convert to fraction form
    647,741,208/1,410,489,453 = 1,410,489,453/x
  3. Step 3: Cross multiply
    647,741,208x = 1,410,489,453 × 1,410,489,453
  4. Step 4: Simplify right side
    647,741,208x = 1,989,480,497,024,239,104
  5. Step 5: Solve for x
    x = 1,989,480,497,024,239,104/647,741,208
  6. Step 6: Final answer
    x = 3,071,412,583.38

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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.