Finding the Third Proportional to 97,502,937,450 and 137,305,621,647
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Solution
The third proportional to 97,502,937,450 and 137,305,621,647 is: 193,356,571,903.66
Step by Step Solution
- Step 1: Write the proportion equation
97,502,937,450 : 137,305,621,647 = 137,305,621,647 : x - Step 2: Convert to fraction form
97,502,937,450/137,305,621,647 = 137,305,621,647/x - Step 3: Cross multiply
97,502,937,450x = 137,305,621,647 × 137,305,621,647 - Step 4: Simplify right side
97,502,937,450x = 18,852,833,735,869,114,351,616 - Step 5: Solve for x
x = 18,852,833,735,869,114,351,616/97,502,937,450 - Step 6: Final answer
x = 193,356,571,903.66
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.