Finding the Third Proportional to 8,177,193,487,657 and 17,660,005,856,162
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Solution
The third proportional to 8,177,193,487,657 and 17,660,005,856,162 is: 38,139,712,275,420
Step by Step Solution
- Step 1: Write the proportion equation
8,177,193,487,657 : 17,660,005,856,162 = 17,660,005,856,162 : x - Step 2: Convert to fraction form
8,177,193,487,657/17,660,005,856,162 = 17,660,005,856,162/x - Step 3: Cross multiply
8,177,193,487,657x = 17,660,005,856,162 × 17,660,005,856,162 - Step 4: Simplify right side
8,177,193,487,657x = 311,875,806,839,676,141,412,810,752 - Step 5: Solve for x
x = 311,875,806,839,676,141,412,810,752/8,177,193,487,657 - Step 6: Final answer
x = 38,139,712,275,420
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.