Finding the Third Proportional to 253,463,768,420 and 537,146,334,980
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Solution
The third proportional to 253,463,768,420 and 537,146,334,980 is: 1,138,333,052,416.18
Step by Step Solution
- Step 1: Write the proportion equation
253,463,768,420 : 537,146,334,980 = 537,146,334,980 : x - Step 2: Convert to fraction form
253,463,768,420/537,146,334,980 = 537,146,334,980/x - Step 3: Cross multiply
253,463,768,420x = 537,146,334,980 × 537,146,334,980 - Step 4: Simplify right side
253,463,768,420x = 288,526,185,182,446,370,160,640 - Step 5: Solve for x
x = 288,526,185,182,446,370,160,640/253,463,768,420 - Step 6: Final answer
x = 1,138,333,052,416.18
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.