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Finding the Third Proportional to 613,203,301.13 and 919,579,736.25

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Solution

The third proportional to 613,203,301.13 and 919,579,736.25 is: 1,379,031,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,203,301.13 : 919,579,736.25 = 919,579,736.25 : x
  2. Step 2: Convert to fraction form
    613,203,301.13/919,579,736.25 = 919,579,736.25/x
  3. Step 3: Cross multiply
    613,203,301.13x = 919,579,736.25 × 919,579,736.25
  4. Step 4: Simplify right side
    613,203,301.13x = 845,626,891,321,619,584
  5. Step 5: Solve for x
    x = 845,626,891,321,619,584/613,203,301.13
  6. Step 6: Final answer
    x = 1,379,031,863.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.