Finding the Third Proportional to 555,416,924,173.88 and 849,725,706,470.62
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Solution
The third proportional to 555,416,924,173.88 and 849,725,706,470.62 is: 1,299,985,190,964.32
Step by Step Solution
- Step 1: Write the proportion equation
555,416,924,173.88 : 849,725,706,470.62 = 849,725,706,470.62 : x - Step 2: Convert to fraction form
555,416,924,173.88/849,725,706,470.62 = 849,725,706,470.62/x - Step 3: Cross multiply
555,416,924,173.88x = 849,725,706,470.62 × 849,725,706,470.62 - Step 4: Simplify right side
555,416,924,173.88x = 722,033,776,236,994,200,862,720 - Step 5: Solve for x
x = 722,033,776,236,994,200,862,720/555,416,924,173.88 - Step 6: Final answer
x = 1,299,985,190,964.32
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.