Finding the Third Proportional to 32,708,773,950,632 and 70,640,023,424,656
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Solution
The third proportional to 32,708,773,950,632 and 70,640,023,424,656 is: 152,558,849,101,695.88
Step by Step Solution
- Step 1: Write the proportion equation
32,708,773,950,632 : 70,640,023,424,656 = 70,640,023,424,656 : x - Step 2: Convert to fraction form
32,708,773,950,632/70,640,023,424,656 = 70,640,023,424,656/x - Step 3: Cross multiply
32,708,773,950,632x = 70,640,023,424,656 × 70,640,023,424,656 - Step 4: Simplify right side
32,708,773,950,632x = 4,990,012,909,435,948,560,558,325,760 - Step 5: Solve for x
x = 4,990,012,909,435,948,560,558,325,760/32,708,773,950,632 - Step 6: Final answer
x = 152,558,849,101,695.88
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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.