Finding the Third Proportional to 51,445,112,166 and 111,438,809,916
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Solution
The third proportional to 51,445,112,166 and 111,438,809,916 is: 241,395,301,373.29
Step by Step Solution
- Step 1: Write the proportion equation
51,445,112,166 : 111,438,809,916 = 111,438,809,916 : x - Step 2: Convert to fraction form
51,445,112,166/111,438,809,916 = 111,438,809,916/x - Step 3: Cross multiply
51,445,112,166x = 111,438,809,916 × 111,438,809,916 - Step 4: Simplify right side
51,445,112,166x = 12,418,608,355,494,380,699,648 - Step 5: Solve for x
x = 12,418,608,355,494,380,699,648/51,445,112,166 - Step 6: Final answer
x = 241,395,301,373.29
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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.