Finding the Third Proportional to 31,931,340 and 69,907,814
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Solution
The third proportional to 31,931,340 and 69,907,814 is: 153,050,340.46
Step by Step Solution
- Step 1: Write the proportion equation
31,931,340 : 69,907,814 = 69,907,814 : x - Step 2: Convert to fraction form
31,931,340/69,907,814 = 69,907,814/x - Step 3: Cross multiply
31,931,340x = 69,907,814 × 69,907,814 - Step 4: Simplify right side
31,931,340x = 4,887,102,458,258,596 - Step 5: Solve for x
x = 4,887,102,458,258,596/31,931,340 - Step 6: Final answer
x = 153,050,340.46
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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.