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Finding the Third Proportional to 618,550,923,041 and 1,331,635,681,954

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Solution

The third proportional to 618,550,923,041 and 1,331,635,681,954 is: 2,866,786,748,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,550,923,041 : 1,331,635,681,954 = 1,331,635,681,954 : x
  2. Step 2: Convert to fraction form
    618,550,923,041/1,331,635,681,954 = 1,331,635,681,954/x
  3. Step 3: Cross multiply
    618,550,923,041x = 1,331,635,681,954 × 1,331,635,681,954
  4. Step 4: Simplify right side
    618,550,923,041x = 1,773,253,589,453,094,543,949,824
  5. Step 5: Solve for x
    x = 1,773,253,589,453,094,543,949,824/618,550,923,041
  6. Step 6: Final answer
    x = 2,866,786,748,510.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.