Finding the Third Proportional to 306,370,592,874 and 670,454,689,675
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Solution
The third proportional to 306,370,592,874 and 670,454,689,675 is: 1,467,208,346,239.90
Step by Step Solution
- Step 1: Write the proportion equation
306,370,592,874 : 670,454,689,675 = 670,454,689,675 : x - Step 2: Convert to fraction form
306,370,592,874/670,454,689,675 = 670,454,689,675/x - Step 3: Cross multiply
306,370,592,874x = 670,454,689,675 × 670,454,689,675 - Step 4: Simplify right side
306,370,592,874x = 449,509,490,907,200,568,164,352 - Step 5: Solve for x
x = 449,509,490,907,200,568,164,352/306,370,592,874 - Step 6: Final answer
x = 1,467,208,346,239.90
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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.