Finding the Third Proportional to 569,635,848 and 1,169,469,792
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Solution
The third proportional to 569,635,848 and 1,169,469,792 is: 2,400,936,667.18
Step by Step Solution
- Step 1: Write the proportion equation
569,635,848 : 1,169,469,792 = 1,169,469,792 : x - Step 2: Convert to fraction form
569,635,848/1,169,469,792 = 1,169,469,792/x - Step 3: Cross multiply
569,635,848x = 1,169,469,792 × 1,169,469,792 - Step 4: Simplify right side
569,635,848x = 1,367,659,594,400,523,264 - Step 5: Solve for x
x = 1,367,659,594,400,523,264/569,635,848 - Step 6: Final answer
x = 2,400,936,667.18
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.