Finding the Third Proportional to 45,546,999,282,154 and 69,386,147,413,105
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Solution
The third proportional to 45,546,999,282,154 and 69,386,147,413,105 is: 105,702,626,489,370.22
Step by Step Solution
- Step 1: Write the proportion equation
45,546,999,282,154 : 69,386,147,413,105 = 69,386,147,413,105 : x - Step 2: Convert to fraction form
45,546,999,282,154/69,386,147,413,105 = 69,386,147,413,105/x - Step 3: Cross multiply
45,546,999,282,154x = 69,386,147,413,105 × 69,386,147,413,105 - Step 4: Simplify right side
45,546,999,282,154x = 4,814,437,452,833,137,884,361,916,416 - Step 5: Solve for x
x = 4,814,437,452,833,137,884,361,916,416/45,546,999,282,154 - Step 6: Final answer
x = 105,702,626,489,370.22
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.