Finding the Third Proportional to 35,980,844,678,172 and 54,814,328,013,852
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Solution
The third proportional to 35,980,844,678,172 and 54,814,328,013,852 is: 83,505,837,133,193.42
Step by Step Solution
- Step 1: Write the proportion equation
35,980,844,678,172 : 54,814,328,013,852 = 54,814,328,013,852 : x - Step 2: Convert to fraction form
35,980,844,678,172/54,814,328,013,852 = 54,814,328,013,852/x - Step 3: Cross multiply
35,980,844,678,172x = 54,814,328,013,852 × 54,814,328,013,852 - Step 4: Simplify right side
35,980,844,678,172x = 3,004,610,555,610,160,347,301,806,080 - Step 5: Solve for x
x = 3,004,610,555,610,160,347,301,806,080/35,980,844,678,172 - Step 6: Final answer
x = 83,505,837,133,193.42
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.