Finding the Third Proportional to 75,204,627,920 and 113,774,176,440
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Solution
The third proportional to 75,204,627,920 and 113,774,176,440 is: 172,124,556,461.74
Step by Step Solution
- Step 1: Write the proportion equation
75,204,627,920 : 113,774,176,440 = 113,774,176,440 : x - Step 2: Convert to fraction form
75,204,627,920/113,774,176,440 = 113,774,176,440/x - Step 3: Cross multiply
75,204,627,920x = 113,774,176,440 × 113,774,176,440 - Step 4: Simplify right side
75,204,627,920x = 12,944,563,224,600,251,465,728 - Step 5: Solve for x
x = 12,944,563,224,600,251,465,728/75,204,627,920 - Step 6: Final answer
x = 172,124,556,461.74
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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.