Finding the Third Proportional to 924,650,820,296 and 1,414,612,222,047
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Solution
The third proportional to 924,650,820,296 and 1,414,612,222,047 is: 2,164,198,305,825.49
Step by Step Solution
- Step 1: Write the proportion equation
924,650,820,296 : 1,414,612,222,047 = 1,414,612,222,047 : x - Step 2: Convert to fraction form
924,650,820,296/1,414,612,222,047 = 1,414,612,222,047/x - Step 3: Cross multiply
924,650,820,296x = 1,414,612,222,047 × 1,414,612,222,047 - Step 4: Simplify right side
924,650,820,296x = 2,001,127,738,764,750,879,719,424 - Step 5: Solve for x
x = 2,001,127,738,764,750,879,719,424/924,650,820,296 - Step 6: Final answer
x = 2,164,198,305,825.49
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.