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Finding the Third Proportional to 799,109,905,858 and 1,640,582,955,778

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Solution

The third proportional to 799,109,905,858 and 1,640,582,955,778 is: 3,368,137,993,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,109,905,858 : 1,640,582,955,778 = 1,640,582,955,778 : x
  2. Step 2: Convert to fraction form
    799,109,905,858/1,640,582,955,778 = 1,640,582,955,778/x
  3. Step 3: Cross multiply
    799,109,905,858x = 1,640,582,955,778 × 1,640,582,955,778
  4. Step 4: Simplify right side
    799,109,905,858x = 2,691,512,434,789,278,952,718,336
  5. Step 5: Solve for x
    x = 2,691,512,434,789,278,952,718,336/799,109,905,858
  6. Step 6: Final answer
    x = 3,368,137,993,358.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.