Finding the Third Proportional to 49,793,764,012 and 76,489,312,155
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Solution
The third proportional to 49,793,764,012 and 76,489,312,155 is: 117,496,939,426.69
Step by Step Solution
- Step 1: Write the proportion equation
49,793,764,012 : 76,489,312,155 = 76,489,312,155 : x - Step 2: Convert to fraction form
49,793,764,012/76,489,312,155 = 76,489,312,155/x - Step 3: Cross multiply
49,793,764,012x = 76,489,312,155 × 76,489,312,155 - Step 4: Simplify right side
49,793,764,012x = 5,850,614,873,945,031,049,216 - Step 5: Solve for x
x = 5,850,614,873,945,031,049,216/49,793,764,012 - Step 6: Final answer
x = 117,496,939,426.69
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.