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Finding the Third Proportional to 3,639,509,172 and 7,858,958,256

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Solution

The third proportional to 3,639,509,172 and 7,858,958,256 is: 16,970,207,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639,509,172 : 7,858,958,256 = 7,858,958,256 : x
  2. Step 2: Convert to fraction form
    3,639,509,172/7,858,958,256 = 7,858,958,256/x
  3. Step 3: Cross multiply
    3,639,509,172x = 7,858,958,256 × 7,858,958,256
  4. Step 4: Simplify right side
    3,639,509,172x = 61,763,224,869,550,563,328
  5. Step 5: Solve for x
    x = 61,763,224,869,550,563,328/3,639,509,172
  6. Step 6: Final answer
    x = 16,970,207,231.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.