Finding the Third Proportional to 702,521,949,970 and 947,867,063,021
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Solution
The third proportional to 702,521,949,970 and 947,867,063,021 is: 1,278,895,227,684.24
Step by Step Solution
- Step 1: Write the proportion equation
702,521,949,970 : 947,867,063,021 = 947,867,063,021 : x - Step 2: Convert to fraction form
702,521,949,970/947,867,063,021 = 947,867,063,021/x - Step 3: Cross multiply
702,521,949,970x = 947,867,063,021 × 947,867,063,021 - Step 4: Simplify right side
702,521,949,970x = 898,451,969,160,056,422,793,216 - Step 5: Solve for x
x = 898,451,969,160,056,422,793,216/702,521,949,970 - Step 6: Final answer
x = 1,278,895,227,684.24
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.