Finding the Third Proportional to 226,213,523,645 and 492,143,390,002
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Solution
The third proportional to 226,213,523,645 and 492,143,390,002 is: 1,070,692,469,751.53
Step by Step Solution
- Step 1: Write the proportion equation
226,213,523,645 : 492,143,390,002 = 492,143,390,002 : x - Step 2: Convert to fraction form
226,213,523,645/492,143,390,002 = 492,143,390,002/x - Step 3: Cross multiply
226,213,523,645x = 492,143,390,002 × 492,143,390,002 - Step 4: Simplify right side
226,213,523,645x = 242,205,116,322,660,688,592,896 - Step 5: Solve for x
x = 242,205,116,322,660,688,592,896/226,213,523,645 - Step 6: Final answer
x = 1,070,692,469,751.53
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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.