Finding the Third Proportional to 43,581,550,969,278 and 96,046,410,019,833
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Solution
The third proportional to 43,581,550,969,278 and 96,046,410,019,833 is: 211,670,137,306,513.19
Step by Step Solution
- Step 1: Write the proportion equation
43,581,550,969,278 : 96,046,410,019,833 = 96,046,410,019,833 : x - Step 2: Convert to fraction form
43,581,550,969,278/96,046,410,019,833 = 96,046,410,019,833/x - Step 3: Cross multiply
43,581,550,969,278x = 96,046,410,019,833 × 96,046,410,019,833 - Step 4: Simplify right side
43,581,550,969,278x = 9,224,912,877,697,877,147,413,118,976 - Step 5: Solve for x
x = 9,224,912,877,697,877,147,413,118,976/43,581,550,969,278 - Step 6: Final answer
x = 211,670,137,306,513.19
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.