Finding the Third Proportional to 107,586,929,704 and 235,440,878,616
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Solution
The third proportional to 107,586,929,704 and 235,440,878,616 is: 515,233,657,805.68
Step by Step Solution
- Step 1: Write the proportion equation
107,586,929,704 : 235,440,878,616 = 235,440,878,616 : x - Step 2: Convert to fraction form
107,586,929,704/235,440,878,616 = 235,440,878,616/x - Step 3: Cross multiply
107,586,929,704x = 235,440,878,616 × 235,440,878,616 - Step 4: Simplify right side
107,586,929,704x = 55,432,407,323,474,049,105,920 - Step 5: Solve for x
x = 55,432,407,323,474,049,105,920/107,586,929,704 - Step 6: Final answer
x = 515,233,657,805.68
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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.