Finding the Third Proportional to 121,035,295,878 and 264,870,988,380
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Solution
The third proportional to 121,035,295,878 and 264,870,988,380 is: 579,637,864,942.42
Step by Step Solution
- Step 1: Write the proportion equation
121,035,295,878 : 264,870,988,380 = 264,870,988,380 : x - Step 2: Convert to fraction form
121,035,295,878/264,870,988,380 = 264,870,988,380/x - Step 3: Cross multiply
121,035,295,878x = 264,870,988,380 × 264,870,988,380 - Step 4: Simplify right side
121,035,295,878x = 70,156,640,485,398,095,593,472 - Step 5: Solve for x
x = 70,156,640,485,398,095,593,472/121,035,295,878 - Step 6: Final answer
x = 579,637,864,942.42
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.