Finding the Third Proportional to 8,162,699,390,636 and 17,536,769,647,192
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Solution
The third proportional to 8,162,699,390,636 and 17,536,769,647,192 is: 37,676,052,362,221.40
Step by Step Solution
- Step 1: Write the proportion equation
8,162,699,390,636 : 17,536,769,647,192 = 17,536,769,647,192 : x - Step 2: Convert to fraction form
8,162,699,390,636/17,536,769,647,192 = 17,536,769,647,192/x - Step 3: Cross multiply
8,162,699,390,636x = 17,536,769,647,192 × 17,536,769,647,192 - Step 4: Simplify right side
8,162,699,390,636x = 307,538,289,658,674,612,973,600,768 - Step 5: Solve for x
x = 307,538,289,658,674,612,973,600,768/8,162,699,390,636 - Step 6: Final answer
x = 37,676,052,362,221.40
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.