Finding the Third Proportional to 592,277,278,946 and 902,293,465,683
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Solution
The third proportional to 592,277,278,946 and 902,293,465,683 is: 1,374,581,681,848.49
Step by Step Solution
- Step 1: Write the proportion equation
592,277,278,946 : 902,293,465,683 = 902,293,465,683 : x - Step 2: Convert to fraction form
592,277,278,946/902,293,465,683 = 902,293,465,683/x - Step 3: Cross multiply
592,277,278,946x = 902,293,465,683 × 902,293,465,683 - Step 4: Simplify right side
592,277,278,946x = 814,133,498,214,239,111,741,440 - Step 5: Solve for x
x = 814,133,498,214,239,111,741,440/592,277,278,946 - Step 6: Final answer
x = 1,374,581,681,848.49
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.