Finding the Third Proportional to 226,213,523,648 and 492,143,390,008
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Solution
The third proportional to 226,213,523,648 and 492,143,390,008 is: 1,070,692,469,763.44
Step by Step Solution
- Step 1: Write the proportion equation
226,213,523,648 : 492,143,390,008 = 492,143,390,008 : x - Step 2: Convert to fraction form
226,213,523,648/492,143,390,008 = 492,143,390,008/x - Step 3: Cross multiply
226,213,523,648x = 492,143,390,008 × 492,143,390,008 - Step 4: Simplify right side
226,213,523,648x = 242,205,116,328,566,402,842,624 - Step 5: Solve for x
x = 242,205,116,328,566,402,842,624/226,213,523,648 - Step 6: Final answer
x = 1,070,692,469,763.44
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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.