Finding the Third Proportional to 2,083,527,037,557 and 4,513,271,790,231
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Solution
The third proportional to 2,083,527,037,557 and 4,513,271,790,231 is: 9,776,509,680,613
Step by Step Solution
- Step 1: Write the proportion equation
2,083,527,037,557 : 4,513,271,790,231 = 4,513,271,790,231 : x - Step 2: Convert to fraction form
2,083,527,037,557/4,513,271,790,231 = 4,513,271,790,231/x - Step 3: Cross multiply
2,083,527,037,557x = 4,513,271,790,231 × 4,513,271,790,231 - Step 4: Simplify right side
2,083,527,037,557x = 20,369,622,252,494,937,519,030,272 - Step 5: Solve for x
x = 20,369,622,252,494,937,519,030,272/2,083,527,037,557 - Step 6: Final answer
x = 9,776,509,680,613
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.