Finding the Third Proportional to 461,096,888 and 988,092,456
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Solution
The third proportional to 461,096,888 and 988,092,456 is: 2,117,400,327.38
Step by Step Solution
- Step 1: Write the proportion equation
461,096,888 : 988,092,456 = 988,092,456 : x - Step 2: Convert to fraction form
461,096,888/988,092,456 = 988,092,456/x - Step 3: Cross multiply
461,096,888x = 988,092,456 × 988,092,456 - Step 4: Simplify right side
461,096,888x = 976,326,701,604,111,872 - Step 5: Solve for x
x = 976,326,701,604,111,872/461,096,888 - Step 6: Final answer
x = 2,117,400,327.38
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.