Finding the Third Proportional to 235,778,671,274 and 512,868,205,252
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Solution
The third proportional to 235,778,671,274 and 512,868,205,252 is: 1,115,596,226,482.82
Step by Step Solution
- Step 1: Write the proportion equation
235,778,671,274 : 512,868,205,252 = 512,868,205,252 : x - Step 2: Convert to fraction form
235,778,671,274/512,868,205,252 = 512,868,205,252/x - Step 3: Cross multiply
235,778,671,274x = 512,868,205,252 × 512,868,205,252 - Step 4: Simplify right side
235,778,671,274x = 263,033,795,958,407,612,596,224 - Step 5: Solve for x
x = 263,033,795,958,407,612,596,224/235,778,671,274 - Step 6: Final answer
x = 1,115,596,226,482.82
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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.