Finding the Third Proportional to 260,006,823,180 and 527,324,446,152
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Solution
The third proportional to 260,006,823,180 and 527,324,446,152 is: 1,069,476,054,930.33
Step by Step Solution
- Step 1: Write the proportion equation
260,006,823,180 : 527,324,446,152 = 527,324,446,152 : x - Step 2: Convert to fraction form
260,006,823,180/527,324,446,152 = 527,324,446,152/x - Step 3: Cross multiply
260,006,823,180x = 527,324,446,152 × 527,324,446,152 - Step 4: Simplify right side
260,006,823,180x = 278,071,071,509,513,555,148,800 - Step 5: Solve for x
x = 278,071,071,509,513,555,148,800/260,006,823,180 - Step 6: Final answer
x = 1,069,476,054,930.33
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.