Finding the Third Proportional to 75,593,912,798 and 161,970,264,438
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Solution
The third proportional to 75,593,912,798 and 161,970,264,438 is: 347,043,374,143.34
Step by Step Solution
- Step 1: Write the proportion equation
75,593,912,798 : 161,970,264,438 = 161,970,264,438 : x - Step 2: Convert to fraction form
75,593,912,798/161,970,264,438 = 161,970,264,438/x - Step 3: Cross multiply
75,593,912,798x = 161,970,264,438 × 161,970,264,438 - Step 4: Simplify right side
75,593,912,798x = 26,234,366,562,115,648,487,424 - Step 5: Solve for x
x = 26,234,366,562,115,648,487,424/75,593,912,798 - Step 6: Final answer
x = 347,043,374,143.34
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.