Finding the Third Proportional to 75,193,893,029 and 113,759,518,706
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Solution
The third proportional to 75,193,893,029 and 113,759,518,706 is: 172,104,775,732.65
Step by Step Solution
- Step 1: Write the proportion equation
75,193,893,029 : 113,759,518,706 = 113,759,518,706 : x - Step 2: Convert to fraction form
75,193,893,029/113,759,518,706 = 113,759,518,706/x - Step 3: Cross multiply
75,193,893,029x = 113,759,518,706 × 113,759,518,706 - Step 4: Simplify right side
75,193,893,029x = 12,941,228,096,220,764,831,744 - Step 5: Solve for x
x = 12,941,228,096,220,764,831,744/75,193,893,029 - Step 6: Final answer
x = 172,104,775,732.65
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.