Finding the Third Proportional to 418,959,732,872 and 919,032,228,112
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Solution
The third proportional to 418,959,732,872 and 919,032,228,112 is: 2,015,993,829,570.62
Step by Step Solution
- Step 1: Write the proportion equation
418,959,732,872 : 919,032,228,112 = 919,032,228,112 : x - Step 2: Convert to fraction form
418,959,732,872/919,032,228,112 = 919,032,228,112/x - Step 3: Cross multiply
418,959,732,872x = 919,032,228,112 × 919,032,228,112 - Step 4: Simplify right side
418,959,732,872x = 844,620,236,308,507,153,924,096 - Step 5: Solve for x
x = 844,620,236,308,507,153,924,096/418,959,732,872 - Step 6: Final answer
x = 2,015,993,829,570.62
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.