Finding the Third Proportional to 498,880,380,196 and 1,024,207,862,664
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Solution
The third proportional to 498,880,380,196 and 1,024,207,862,664 is: 2,102,711,967,808.05
Step by Step Solution
- Step 1: Write the proportion equation
498,880,380,196 : 1,024,207,862,664 = 1,024,207,862,664 : x - Step 2: Convert to fraction form
498,880,380,196/1,024,207,862,664 = 1,024,207,862,664/x - Step 3: Cross multiply
498,880,380,196x = 1,024,207,862,664 × 1,024,207,862,664 - Step 4: Simplify right side
498,880,380,196x = 1,049,001,745,942,759,100,907,520 - Step 5: Solve for x
x = 1,049,001,745,942,759,100,907,520/498,880,380,196 - Step 6: Final answer
x = 2,102,711,967,808.05
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.