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Finding the Third Proportional to 603,194,543 and 1,301,661,367

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Solution

The third proportional to 603,194,543 and 1,301,661,367 is: 2,808,915,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,194,543 : 1,301,661,367 = 1,301,661,367 : x
  2. Step 2: Convert to fraction form
    603,194,543/1,301,661,367 = 1,301,661,367/x
  3. Step 3: Cross multiply
    603,194,543x = 1,301,661,367 × 1,301,661,367
  4. Step 4: Simplify right side
    603,194,543x = 1,694,322,314,340,308,736
  5. Step 5: Solve for x
    x = 1,694,322,314,340,308,736/603,194,543
  6. Step 6: Final answer
    x = 2,808,915,189.97

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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.