Finding the Third Proportional to 779,151,408,026 and 1,675,562,423,704
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Solution
The third proportional to 779,151,408,026 and 1,675,562,423,704 is: 3,603,291,230,444.82
Step by Step Solution
- Step 1: Write the proportion equation
779,151,408,026 : 1,675,562,423,704 = 1,675,562,423,704 : x - Step 2: Convert to fraction form
779,151,408,026/1,675,562,423,704 = 1,675,562,423,704/x - Step 3: Cross multiply
779,151,408,026x = 1,675,562,423,704 × 1,675,562,423,704 - Step 4: Simplify right side
779,151,408,026x = 2,807,509,435,728,822,739,664,896 - Step 5: Solve for x
x = 2,807,509,435,728,822,739,664,896/779,151,408,026 - Step 6: Final answer
x = 3,603,291,230,444.82
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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.