Finding the Third Proportional to 13,829,900,556,540 and 30,751,969,490,742
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Solution
The third proportional to 13,829,900,556,540 and 30,751,969,490,742 is: 68,379,640,453,186.34
Step by Step Solution
- Step 1: Write the proportion equation
13,829,900,556,540 : 30,751,969,490,742 = 30,751,969,490,742 : x - Step 2: Convert to fraction form
13,829,900,556,540/30,751,969,490,742 = 30,751,969,490,742/x - Step 3: Cross multiply
13,829,900,556,540x = 30,751,969,490,742 × 30,751,969,490,742 - Step 4: Simplify right side
13,829,900,556,540x = 945,683,627,559,526,781,811,687,424 - Step 5: Solve for x
x = 945,683,627,559,526,781,811,687,424/13,829,900,556,540 - Step 6: Final answer
x = 68,379,640,453,186.34
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.