Finding the Third Proportional to 127,564,723,816 and 273,324,813,506
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Solution
The third proportional to 127,564,723,816 and 273,324,813,506 is: 585,635,679,232.50
Step by Step Solution
- Step 1: Write the proportion equation
127,564,723,816 : 273,324,813,506 = 273,324,813,506 : x - Step 2: Convert to fraction form
127,564,723,816/273,324,813,506 = 273,324,813,506/x - Step 3: Cross multiply
127,564,723,816x = 273,324,813,506 × 273,324,813,506 - Step 4: Simplify right side
127,564,723,816x = 74,706,453,678,089,683,599,360 - Step 5: Solve for x
x = 74,706,453,678,089,683,599,360/127,564,723,816 - Step 6: Final answer
x = 585,635,679,232.50
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.