Finding the Third Proportional to 235,778,671,272 and 512,868,205,248
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Solution
The third proportional to 235,778,671,272 and 512,868,205,248 is: 1,115,596,226,474.88
Step by Step Solution
- Step 1: Write the proportion equation
235,778,671,272 : 512,868,205,248 = 512,868,205,248 : x - Step 2: Convert to fraction form
235,778,671,272/512,868,205,248 = 512,868,205,248/x - Step 3: Cross multiply
235,778,671,272x = 512,868,205,248 × 512,868,205,248 - Step 4: Simplify right side
235,778,671,272x = 263,033,795,954,304,643,760,128 - Step 5: Solve for x
x = 263,033,795,954,304,643,760,128/235,778,671,272 - Step 6: Final answer
x = 1,115,596,226,474.88
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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.