Finding the Third Proportional to 74,512,292,744 and 162,510,526,294
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Solution
The third proportional to 74,512,292,744 and 162,510,526,294 is: 354,433,747,557.44
Step by Step Solution
- Step 1: Write the proportion equation
74,512,292,744 : 162,510,526,294 = 162,510,526,294 : x - Step 2: Convert to fraction form
74,512,292,744/162,510,526,294 = 162,510,526,294/x - Step 3: Cross multiply
74,512,292,744x = 162,510,526,294 × 162,510,526,294 - Step 4: Simplify right side
74,512,292,744x = 26,409,671,156,352,864,485,376 - Step 5: Solve for x
x = 26,409,671,156,352,864,485,376/74,512,292,744 - Step 6: Final answer
x = 354,433,747,557.44
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.