Finding the Third Proportional to 157,274,656,948 and 346,606,897,898
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Solution
The third proportional to 157,274,656,948 and 346,606,897,898 is: 763,863,320,396.21
Step by Step Solution
- Step 1: Write the proportion equation
157,274,656,948 : 346,606,897,898 = 346,606,897,898 : x - Step 2: Convert to fraction form
157,274,656,948/346,606,897,898 = 346,606,897,898/x - Step 3: Cross multiply
157,274,656,948x = 346,606,897,898 × 346,606,897,898 - Step 4: Simplify right side
157,274,656,948x = 120,136,341,670,474,601,725,952 - Step 5: Solve for x
x = 120,136,341,670,474,601,725,952/157,274,656,948 - Step 6: Final answer
x = 763,863,320,396.21
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.