Finding the Third Proportional to 9,002,434,161,316 and 12,146,397,406,002
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Solution
The third proportional to 9,002,434,161,316 and 12,146,397,406,002 is: 16,388,342,008,486.85
Step by Step Solution
- Step 1: Write the proportion equation
9,002,434,161,316 : 12,146,397,406,002 = 12,146,397,406,002 : x - Step 2: Convert to fraction form
9,002,434,161,316/12,146,397,406,002 = 12,146,397,406,002/x - Step 3: Cross multiply
9,002,434,161,316x = 12,146,397,406,002 × 12,146,397,406,002 - Step 4: Simplify right side
9,002,434,161,316x = 147,534,969,944,532,120,506,466,304 - Step 5: Solve for x
x = 147,534,969,944,532,120,506,466,304/9,002,434,161,316 - Step 6: Final answer
x = 16,388,342,008,486.85
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.