Finding the Third Proportional to 235,778,669,381 and 512,868,201,394
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Solution
The third proportional to 235,778,669,381 and 512,868,201,394 is: 1,115,596,218,655.70
Step by Step Solution
- Step 1: Write the proportion equation
235,778,669,381 : 512,868,201,394 = 512,868,201,394 : x - Step 2: Convert to fraction form
235,778,669,381/512,868,201,394 = 512,868,201,394/x - Step 3: Cross multiply
235,778,669,381x = 512,868,201,394 × 512,868,201,394 - Step 4: Simplify right side
235,778,669,381x = 263,033,792,001,116,550,987,776 - Step 5: Solve for x
x = 263,033,792,001,116,550,987,776/235,778,669,381 - Step 6: Final answer
x = 1,115,596,218,655.70
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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.