Finding the Third Proportional to 427,012,396 and 932,323,928
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Solution
The third proportional to 427,012,396 and 932,323,928 is: 2,035,603,450.54
Step by Step Solution
- Step 1: Write the proportion equation
427,012,396 : 932,323,928 = 932,323,928 : x - Step 2: Convert to fraction form
427,012,396/932,323,928 = 932,323,928/x - Step 3: Cross multiply
427,012,396x = 932,323,928 × 932,323,928 - Step 4: Simplify right side
427,012,396x = 869,227,906,721,349,120 - Step 5: Solve for x
x = 869,227,906,721,349,120/427,012,396 - Step 6: Final answer
x = 2,035,603,450.54
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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.