Finding the Third Proportional to 779,151,407,932 and 1,675,562,423,538
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Solution
The third proportional to 779,151,407,932 and 1,675,562,423,538 is: 3,603,291,230,165.58
Step by Step Solution
- Step 1: Write the proportion equation
779,151,407,932 : 1,675,562,423,538 = 1,675,562,423,538 : x - Step 2: Convert to fraction form
779,151,407,932/1,675,562,423,538 = 1,675,562,423,538/x - Step 3: Cross multiply
779,151,407,932x = 1,675,562,423,538 × 1,675,562,423,538 - Step 4: Simplify right side
779,151,407,932x = 2,807,509,435,172,535,891,132,416 - Step 5: Solve for x
x = 2,807,509,435,172,535,891,132,416/779,151,407,932 - Step 6: Final answer
x = 3,603,291,230,165.58
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.