Finding the Third Proportional to 853,066,147,768 and 1,776,740,078,912
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Solution
The third proportional to 853,066,147,768 and 1,776,740,078,912 is: 3,700,539,889,282.71
Step by Step Solution
- Step 1: Write the proportion equation
853,066,147,768 : 1,776,740,078,912 = 1,776,740,078,912 : x - Step 2: Convert to fraction form
853,066,147,768/1,776,740,078,912 = 1,776,740,078,912/x - Step 3: Cross multiply
853,066,147,768x = 1,776,740,078,912 × 1,776,740,078,912 - Step 4: Simplify right side
853,066,147,768x = 3,156,805,308,012,220,108,505,088 - Step 5: Solve for x
x = 3,156,805,308,012,220,108,505,088/853,066,147,768 - Step 6: Final answer
x = 3,700,539,889,282.71
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.