Finding the Third Proportional to 821,304,953,595 and 1,207,354,715,874
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Solution
The third proportional to 821,304,953,595 and 1,207,354,715,874 is: 1,774,864,992,062.39
Step by Step Solution
- Step 1: Write the proportion equation
821,304,953,595 : 1,207,354,715,874 = 1,207,354,715,874 : x - Step 2: Convert to fraction form
821,304,953,595/1,207,354,715,874 = 1,207,354,715,874/x - Step 3: Cross multiply
821,304,953,595x = 1,207,354,715,874 × 1,207,354,715,874 - Step 4: Simplify right side
821,304,953,595x = 1,457,705,409,943,187,297,927,168 - Step 5: Solve for x
x = 1,457,705,409,943,187,297,927,168/821,304,953,595 - Step 6: Final answer
x = 1,774,864,992,062.39
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.