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Finding the Third Proportional to 1,268,352,723 and 2,786,128,422

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Solution

The third proportional to 1,268,352,723 and 2,786,128,422 is: 6,120,152,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,352,723 : 2,786,128,422 = 2,786,128,422 : x
  2. Step 2: Convert to fraction form
    1,268,352,723/2,786,128,422 = 2,786,128,422/x
  3. Step 3: Cross multiply
    1,268,352,723x = 2,786,128,422 × 2,786,128,422
  4. Step 4: Simplify right side
    1,268,352,723x = 7,762,511,583,876,209,664
  5. Step 5: Solve for x
    x = 7,762,511,583,876,209,664/1,268,352,723
  6. Step 6: Final answer
    x = 6,120,152,102.10

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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.