Finding the Third Proportional to 51,445,112,164 and 111,438,809,912
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Solution
The third proportional to 51,445,112,164 and 111,438,809,912 is: 241,395,301,365.35
Step by Step Solution
- Step 1: Write the proportion equation
51,445,112,164 : 111,438,809,912 = 111,438,809,912 : x - Step 2: Convert to fraction form
51,445,112,164/111,438,809,912 = 111,438,809,912/x - Step 3: Cross multiply
51,445,112,164x = 111,438,809,912 × 111,438,809,912 - Step 4: Simplify right side
51,445,112,164x = 12,418,608,354,602,868,801,536 - Step 5: Solve for x
x = 12,418,608,354,602,868,801,536/51,445,112,164 - Step 6: Final answer
x = 241,395,301,365.35
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.