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Finding the Third Proportional to 234,132,002 and 504,224,668

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Solution

The third proportional to 234,132,002 and 504,224,668 is: 1,085,893,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,132,002 : 504,224,668 = 504,224,668 : x
  2. Step 2: Convert to fraction form
    234,132,002/504,224,668 = 504,224,668/x
  3. Step 3: Cross multiply
    234,132,002x = 504,224,668 × 504,224,668
  4. Step 4: Simplify right side
    234,132,002x = 254,242,515,819,710,208
  5. Step 5: Solve for x
    x = 254,242,515,819,710,208/234,132,002
  6. Step 6: Final answer
    x = 1,085,893,913.04

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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.