Finding the Third Proportional to 712,106,608,476 and 960,799,013,577
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Solution
The third proportional to 712,106,608,476 and 960,799,013,577 is: 1,296,343,459,676.86
Step by Step Solution
- Step 1: Write the proportion equation
712,106,608,476 : 960,799,013,577 = 960,799,013,577 : x - Step 2: Convert to fraction form
712,106,608,476/960,799,013,577 = 960,799,013,577/x - Step 3: Cross multiply
712,106,608,476x = 960,799,013,577 × 960,799,013,577 - Step 4: Simplify right side
712,106,608,476x = 923,134,744,490,536,232,550,400 - Step 5: Solve for x
x = 923,134,744,490,536,232,550,400/712,106,608,476 - Step 6: Final answer
x = 1,296,343,459,676.86
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.