Finding the Third Proportional to 107,586,929,708 and 235,440,878,624
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Solution
The third proportional to 107,586,929,708 and 235,440,878,624 is: 515,233,657,821.53
Step by Step Solution
- Step 1: Write the proportion equation
107,586,929,708 : 235,440,878,624 = 235,440,878,624 : x - Step 2: Convert to fraction form
107,586,929,708/235,440,878,624 = 235,440,878,624/x - Step 3: Cross multiply
107,586,929,708x = 235,440,878,624 × 235,440,878,624 - Step 4: Simplify right side
107,586,929,708x = 55,432,407,327,241,096,134,656 - Step 5: Solve for x
x = 55,432,407,327,241,096,134,656/107,586,929,708 - Step 6: Final answer
x = 515,233,657,821.53
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.