Finding the Third Proportional to 824,372,741 and 1,777,881,982
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Solution
The third proportional to 824,372,741 and 1,777,881,982 is: 3,834,265,963.34
Step by Step Solution
- Step 1: Write the proportion equation
824,372,741 : 1,777,881,982 = 1,777,881,982 : x - Step 2: Convert to fraction form
824,372,741/1,777,881,982 = 1,777,881,982/x - Step 3: Cross multiply
824,372,741x = 1,777,881,982 × 1,777,881,982 - Step 4: Simplify right side
824,372,741x = 3,160,864,341,920,248,320 - Step 5: Solve for x
x = 3,160,864,341,920,248,320/824,372,741 - Step 6: Final answer
x = 3,834,265,963.34
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.