Finding the Third Proportional to 212,366,963,086 and 455,025,365,518
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Solution
The third proportional to 212,366,963,086 and 455,025,365,518 is: 974,954,297,297.85
Step by Step Solution
- Step 1: Write the proportion equation
212,366,963,086 : 455,025,365,518 = 455,025,365,518 : x - Step 2: Convert to fraction form
212,366,963,086/455,025,365,518 = 455,025,365,518/x - Step 3: Cross multiply
212,366,963,086x = 455,025,365,518 × 455,025,365,518 - Step 4: Simplify right side
212,366,963,086x = 207,048,083,264,789,490,434,048 - Step 5: Solve for x
x = 207,048,083,264,789,490,434,048/212,366,963,086 - Step 6: Final answer
x = 974,954,297,297.85
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.