Finding the Third Proportional to 239,831,635,584 and 533,286,201,984
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Solution
The third proportional to 239,831,635,584 and 533,286,201,984 is: 1,185,807,587,618.74
Step by Step Solution
- Step 1: Write the proportion equation
239,831,635,584 : 533,286,201,984 = 533,286,201,984 : x - Step 2: Convert to fraction form
239,831,635,584/533,286,201,984 = 533,286,201,984/x - Step 3: Cross multiply
239,831,635,584x = 533,286,201,984 × 533,286,201,984 - Step 4: Simplify right side
239,831,635,584x = 284,394,173,226,519,636,213,760 - Step 5: Solve for x
x = 284,394,173,226,519,636,213,760/239,831,635,584 - Step 6: Final answer
x = 1,185,807,587,618.74
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.