Finding the Third Proportional to 266,385,063,318 and 382,888,837,089
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Solution
The third proportional to 266,385,063,318 and 382,888,837,089 is: 550,345,652,797.95
Step by Step Solution
- Step 1: Write the proportion equation
266,385,063,318 : 382,888,837,089 = 382,888,837,089 : x - Step 2: Convert to fraction form
266,385,063,318/382,888,837,089 = 382,888,837,089/x - Step 3: Cross multiply
266,385,063,318x = 382,888,837,089 × 382,888,837,089 - Step 4: Simplify right side
266,385,063,318x = 146,603,861,567,366,783,565,824 - Step 5: Solve for x
x = 146,603,861,567,366,783,565,824/266,385,063,318 - Step 6: Final answer
x = 550,345,652,797.95
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.