Finding the Third Proportional to 687,284,432,136 and 1,394,165,928,096
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Solution
The third proportional to 687,284,432,136 and 1,394,165,928,096 is: 2,828,084,769,828.11
Step by Step Solution
- Step 1: Write the proportion equation
687,284,432,136 : 1,394,165,928,096 = 1,394,165,928,096 : x - Step 2: Convert to fraction form
687,284,432,136/1,394,165,928,096 = 1,394,165,928,096/x - Step 3: Cross multiply
687,284,432,136x = 1,394,165,928,096 × 1,394,165,928,096 - Step 4: Simplify right side
687,284,432,136x = 1,943,698,635,063,781,079,646,208 - Step 5: Solve for x
x = 1,943,698,635,063,781,079,646,208/687,284,432,136 - Step 6: Final answer
x = 2,828,084,769,828.11
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.