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Finding the Third Proportional to 512,333,562 and 1,102,477,668

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Solution

The third proportional to 512,333,562 and 1,102,477,668 is: 2,372,393,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,333,562 : 1,102,477,668 = 1,102,477,668 : x
  2. Step 2: Convert to fraction form
    512,333,562/1,102,477,668 = 1,102,477,668/x
  3. Step 3: Cross multiply
    512,333,562x = 1,102,477,668 × 1,102,477,668
  4. Step 4: Simplify right side
    512,333,562x = 1,215,457,008,438,718,208
  5. Step 5: Solve for x
    x = 1,215,457,008,438,718,208/512,333,562
  6. Step 6: Final answer
    x = 2,372,393,882.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.