Finding the Third Proportional to 462,968,340,156 and 996,875,550,756
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Solution
The third proportional to 462,968,340,156 and 996,875,550,756 is: 2,146,498,534,565.51
Step by Step Solution
- Step 1: Write the proportion equation
462,968,340,156 : 996,875,550,756 = 996,875,550,756 : x - Step 2: Convert to fraction form
462,968,340,156/996,875,550,756 = 996,875,550,756/x - Step 3: Cross multiply
462,968,340,156x = 996,875,550,756 × 996,875,550,756 - Step 4: Simplify right side
462,968,340,156x = 993,760,863,695,078,370,050,048 - Step 5: Solve for x
x = 993,760,863,695,078,370,050,048/462,968,340,156 - Step 6: Final answer
x = 2,146,498,534,565.51
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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.