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Finding the Third Proportional to 1,297,864,616,891 and 1,907,918,561,816

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Solution

The third proportional to 1,297,864,616,891 and 1,907,918,561,816 is: 2,804,724,923,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,864,616,891 : 1,907,918,561,816 = 1,907,918,561,816 : x
  2. Step 2: Convert to fraction form
    1,297,864,616,891/1,907,918,561,816 = 1,907,918,561,816/x
  3. Step 3: Cross multiply
    1,297,864,616,891x = 1,907,918,561,816 × 1,907,918,561,816
  4. Step 4: Simplify right side
    1,297,864,616,891x = 3,640,153,238,522,033,707,417,600
  5. Step 5: Solve for x
    x = 3,640,153,238,522,033,707,417,600/1,297,864,616,891
  6. Step 6: Final answer
    x = 2,804,724,923,653.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.