Finding the Third Proportional to 254,782,360,080 and 395,598,185,381.25
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Solution
The third proportional to 254,782,360,080 and 395,598,185,381.25 is: 614,241,599,095.79
Step by Step Solution
- Step 1: Write the proportion equation
254,782,360,080 : 395,598,185,381.25 = 395,598,185,381.25 : x - Step 2: Convert to fraction form
254,782,360,080/395,598,185,381.25 = 395,598,185,381.25/x - Step 3: Cross multiply
254,782,360,080x = 395,598,185,381.25 × 395,598,185,381.25 - Step 4: Simplify right side
254,782,360,080x = 156,497,924,276,937,828,597,760 - Step 5: Solve for x
x = 156,497,924,276,937,828,597,760/254,782,360,080 - Step 6: Final answer
x = 614,241,599,095.79
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.