Finding the Third Proportional to 462,968,340,178 and 996,875,550,800
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Solution
The third proportional to 462,968,340,178 and 996,875,550,800 is: 2,146,498,534,652.99
Step by Step Solution
- Step 1: Write the proportion equation
462,968,340,178 : 996,875,550,800 = 996,875,550,800 : x - Step 2: Convert to fraction form
462,968,340,178/996,875,550,800 = 996,875,550,800/x - Step 3: Cross multiply
462,968,340,178x = 996,875,550,800 × 996,875,550,800 - Step 4: Simplify right side
462,968,340,178x = 993,760,863,782,803,345,506,304 - Step 5: Solve for x
x = 993,760,863,782,803,345,506,304/462,968,340,178 - Step 6: Final answer
x = 2,146,498,534,652.99
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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.