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Finding the Third Proportional to 862,961,080 and 1,901,821,112

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Solution

The third proportional to 862,961,080 and 1,901,821,112 is: 4,191,293,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,961,080 : 1,901,821,112 = 1,901,821,112 : x
  2. Step 2: Convert to fraction form
    862,961,080/1,901,821,112 = 1,901,821,112/x
  3. Step 3: Cross multiply
    862,961,080x = 1,901,821,112 × 1,901,821,112
  4. Step 4: Simplify right side
    862,961,080x = 3,616,923,542,048,916,480
  5. Step 5: Solve for x
    x = 3,616,923,542,048,916,480/862,961,080
  6. Step 6: Final answer
    x = 4,191,293,936.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.