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Finding the Third Proportional to 2,694,836,959 and 5,864,201,319

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Solution

The third proportional to 2,694,836,959 and 5,864,201,319 is: 12,761,015,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694,836,959 : 5,864,201,319 = 5,864,201,319 : x
  2. Step 2: Convert to fraction form
    2,694,836,959/5,864,201,319 = 5,864,201,319/x
  3. Step 3: Cross multiply
    2,694,836,959x = 5,864,201,319 × 5,864,201,319
  4. Step 4: Simplify right side
    2,694,836,959x = 34,388,857,109,761,339,392
  5. Step 5: Solve for x
    x = 34,388,857,109,761,339,392/2,694,836,959
  6. Step 6: Final answer
    x = 12,761,015,836.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.