Finding the Third Proportional to 462,968,340,150 and 996,875,550,744
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Solution
The third proportional to 462,968,340,150 and 996,875,550,744 is: 2,146,498,534,541.65
Step by Step Solution
- Step 1: Write the proportion equation
462,968,340,150 : 996,875,550,744 = 996,875,550,744 : x - Step 2: Convert to fraction form
462,968,340,150/996,875,550,744 = 996,875,550,744/x - Step 3: Cross multiply
462,968,340,150x = 996,875,550,744 × 996,875,550,744 - Step 4: Simplify right side
462,968,340,150x = 993,760,863,671,153,254,727,680 - Step 5: Solve for x
x = 993,760,863,671,153,254,727,680/462,968,340,150 - Step 6: Final answer
x = 2,146,498,534,541.65
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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.