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Finding the Third Proportional to 8,600,907,149,899 and 18,428,616,251,626

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Solution

The third proportional to 8,600,907,149,899 and 18,428,616,251,626 is: 39,485,822,952,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,600,907,149,899 : 18,428,616,251,626 = 18,428,616,251,626 : x
  2. Step 2: Convert to fraction form
    8,600,907,149,899/18,428,616,251,626 = 18,428,616,251,626/x
  3. Step 3: Cross multiply
    8,600,907,149,899x = 18,428,616,251,626 × 18,428,616,251,626
  4. Step 4: Simplify right side
    8,600,907,149,899x = 339,613,896,949,693,942,262,136,832
  5. Step 5: Solve for x
    x = 339,613,896,949,693,942,262,136,832/8,600,907,149,899
  6. Step 6: Final answer
    x = 39,485,822,952,254.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.