Finding the Third Proportional to 357,092,672,676 and 770,991,029,562
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Solution
The third proportional to 357,092,672,676 and 770,991,029,562 is: 1,664,629,977,452.42
Step by Step Solution
- Step 1: Write the proportion equation
357,092,672,676 : 770,991,029,562 = 770,991,029,562 : x - Step 2: Convert to fraction form
357,092,672,676/770,991,029,562 = 770,991,029,562/x - Step 3: Cross multiply
357,092,672,676x = 770,991,029,562 × 770,991,029,562 - Step 4: Simplify right side
357,092,672,676x = 594,427,167,665,072,791,093,248 - Step 5: Solve for x
x = 594,427,167,665,072,791,093,248/357,092,672,676 - Step 6: Final answer
x = 1,664,629,977,452.42
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.