Finding the Third Proportional to 320,930,535,812.91 and 699,526,165,089.95
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Solution
The third proportional to 320,930,535,812.91 and 699,526,165,089.95 is: 1,524,743,834,069.80
Step by Step Solution
- Step 1: Write the proportion equation
320,930,535,812.91 : 699,526,165,089.95 = 699,526,165,089.95 : x - Step 2: Convert to fraction form
320,930,535,812.91/699,526,165,089.95 = 699,526,165,089.95/x - Step 3: Cross multiply
320,930,535,812.91x = 699,526,165,089.95 × 699,526,165,089.95 - Step 4: Simplify right side
320,930,535,812.91x = 489,336,855,645,451,882,332,160 - Step 5: Solve for x
x = 489,336,855,645,451,882,332,160/320,930,535,812.91 - Step 6: Final answer
x = 1,524,743,834,069.80
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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.