Finding the Third Proportional to 462,968,340,158 and 996,875,550,760
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Solution
The third proportional to 462,968,340,158 and 996,875,550,760 is: 2,146,498,534,573.46
Step by Step Solution
- Step 1: Write the proportion equation
462,968,340,158 : 996,875,550,760 = 996,875,550,760 : x - Step 2: Convert to fraction form
462,968,340,158/996,875,550,760 = 996,875,550,760/x - Step 3: Cross multiply
462,968,340,158x = 996,875,550,760 × 996,875,550,760 - Step 4: Simplify right side
462,968,340,158x = 993,760,863,703,053,319,012,352 - Step 5: Solve for x
x = 993,760,863,703,053,319,012,352/462,968,340,158 - Step 6: Final answer
x = 2,146,498,534,573.46
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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.