Finding the Third Proportional to 69,826,622,144 and 153,172,038,016
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Solution
The third proportional to 69,826,622,144 and 153,172,038,016 is: 335,998,971,589.82
Step by Step Solution
- Step 1: Write the proportion equation
69,826,622,144 : 153,172,038,016 = 153,172,038,016 : x - Step 2: Convert to fraction form
69,826,622,144/153,172,038,016 = 153,172,038,016/x - Step 3: Cross multiply
69,826,622,144x = 153,172,038,016 × 153,172,038,016 - Step 4: Simplify right side
69,826,622,144x = 23,461,673,229,974,950,117,376 - Step 5: Solve for x
x = 23,461,673,229,974,950,117,376/69,826,622,144 - Step 6: Final answer
x = 335,998,971,589.82
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.