Finding the Third Proportional to 498,880,380,078 and 1,024,207,862,451.70
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Solution
The third proportional to 498,880,380,078 and 1,024,207,862,451.70 is: 2,102,711,967,433.69
Step by Step Solution
- Step 1: Write the proportion equation
498,880,380,078 : 1,024,207,862,451.70 = 1,024,207,862,451.70 : x - Step 2: Convert to fraction form
498,880,380,078/1,024,207,862,451.70 = 1,024,207,862,451.70/x - Step 3: Cross multiply
498,880,380,078x = 1,024,207,862,451.70 × 1,024,207,862,451.70 - Step 4: Simplify right side
498,880,380,078x = 1,049,001,745,507,880,374,632,448 - Step 5: Solve for x
x = 1,049,001,745,507,880,374,632,448/498,880,380,078 - Step 6: Final answer
x = 2,102,711,967,433.69
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.