Finding the Third Proportional to 599,098,676,163.75 and 1,283,024,547,569.20
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Solution
The third proportional to 599,098,676,163.75 and 1,283,024,547,569.20 is: 2,747,714,283,406.65
Step by Step Solution
- Step 1: Write the proportion equation
599,098,676,163.75 : 1,283,024,547,569.20 = 1,283,024,547,569.20 : x - Step 2: Convert to fraction form
599,098,676,163.75/1,283,024,547,569.20 = 1,283,024,547,569.20/x - Step 3: Cross multiply
599,098,676,163.75x = 1,283,024,547,569.20 × 1,283,024,547,569.20 - Step 4: Simplify right side
599,098,676,163.75x = 1,646,151,989,665,150,183,407,616 - Step 5: Solve for x
x = 1,646,151,989,665,150,183,407,616/599,098,676,163.75 - Step 6: Final answer
x = 2,747,714,283,406.65
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.