Finding the Third Proportional to 7,031,903,751,791 and 15,232,292,292,102
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Solution
The third proportional to 7,031,903,751,791 and 15,232,292,292,102 is: 32,995,720,172,212.92
Step by Step Solution
- Step 1: Write the proportion equation
7,031,903,751,791 : 15,232,292,292,102 = 15,232,292,292,102 : x - Step 2: Convert to fraction form
7,031,903,751,791/15,232,292,292,102 = 15,232,292,292,102/x - Step 3: Cross multiply
7,031,903,751,791x = 15,232,292,292,102 × 15,232,292,292,102 - Step 4: Simplify right side
7,031,903,751,791x = 232,022,728,472,030,000,948,707,328 - Step 5: Solve for x
x = 232,022,728,472,030,000,948,707,328/7,031,903,751,791 - Step 6: Final answer
x = 32,995,720,172,212.92
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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.