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Finding the Third Proportional to 618,550,923,039 and 1,331,635,681,950

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Solution

The third proportional to 618,550,923,039 and 1,331,635,681,950 is: 2,866,786,748,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,550,923,039 : 1,331,635,681,950 = 1,331,635,681,950 : x
  2. Step 2: Convert to fraction form
    618,550,923,039/1,331,635,681,950 = 1,331,635,681,950/x
  3. Step 3: Cross multiply
    618,550,923,039x = 1,331,635,681,950 × 1,331,635,681,950
  4. Step 4: Simplify right side
    618,550,923,039x = 1,773,253,589,442,441,682,878,464
  5. Step 5: Solve for x
    x = 1,773,253,589,442,441,682,878,464/618,550,923,039
  6. Step 6: Final answer
    x = 2,866,786,748,502.90

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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.