Finding the Third Proportional to 19,416,160,370,882 and 42,250,347,113,914
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Solution
The third proportional to 19,416,160,370,882 and 42,250,347,113,914 is: 91,938,457,302,983.81
Step by Step Solution
- Step 1: Write the proportion equation
19,416,160,370,882 : 42,250,347,113,914 = 42,250,347,113,914 : x - Step 2: Convert to fraction form
19,416,160,370,882/42,250,347,113,914 = 42,250,347,113,914/x - Step 3: Cross multiply
19,416,160,370,882x = 42,250,347,113,914 × 42,250,347,113,914 - Step 4: Simplify right side
19,416,160,370,882x = 1,785,091,831,246,221,154,573,090,816 - Step 5: Solve for x
x = 1,785,091,831,246,221,154,573,090,816/19,416,160,370,882 - Step 6: Final answer
x = 91,938,457,302,983.81
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.