Finding the Third Proportional to 121,035,295,917 and 264,870,988,443
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Solution
The third proportional to 121,035,295,917 and 264,870,988,443 is: 579,637,865,031.39
Step by Step Solution
- Step 1: Write the proportion equation
121,035,295,917 : 264,870,988,443 = 264,870,988,443 : x - Step 2: Convert to fraction form
121,035,295,917/264,870,988,443 = 264,870,988,443/x - Step 3: Cross multiply
121,035,295,917x = 264,870,988,443 × 264,870,988,443 - Step 4: Simplify right side
121,035,295,917x = 70,156,640,518,771,836,977,152 - Step 5: Solve for x
x = 70,156,640,518,771,836,977,152/121,035,295,917 - Step 6: Final answer
x = 579,637,865,031.39
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.