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Finding the Third Proportional to 1,455,604,032 and 2,081,530,912

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Solution

The third proportional to 1,455,604,032 and 2,081,530,912 is: 2,976,613,723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455,604,032 : 2,081,530,912 = 2,081,530,912 : x
  2. Step 2: Convert to fraction form
    1,455,604,032/2,081,530,912 = 2,081,530,912/x
  3. Step 3: Cross multiply
    1,455,604,032x = 2,081,530,912 × 2,081,530,912
  4. Step 4: Simplify right side
    1,455,604,032x = 4,332,770,937,611,551,744
  5. Step 5: Solve for x
    x = 4,332,770,937,611,551,744/1,455,604,032
  6. Step 6: Final answer
    x = 2,976,613,723.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.