Finding the Third Proportional to 67,478,877,585 and 140,542,942,014
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Solution
The third proportional to 67,478,877,585 and 140,542,942,014 is: 292,718,540,332.41
Step by Step Solution
- Step 1: Write the proportion equation
67,478,877,585 : 140,542,942,014 = 140,542,942,014 : x - Step 2: Convert to fraction form
67,478,877,585/140,542,942,014 = 140,542,942,014/x - Step 3: Cross multiply
67,478,877,585x = 140,542,942,014 × 140,542,942,014 - Step 4: Simplify right side
67,478,877,585x = 19,752,318,549,950,564,663,296 - Step 5: Solve for x
x = 19,752,318,549,950,564,663,296/67,478,877,585 - Step 6: Final answer
x = 292,718,540,332.41
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.