Finding the Third Proportional to 766,643,064 and 1,667,609,920
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Solution
The third proportional to 766,643,064 and 1,667,609,920 is: 3,627,402,341.28
Step by Step Solution
- Step 1: Write the proportion equation
766,643,064 : 1,667,609,920 = 1,667,609,920 : x - Step 2: Convert to fraction form
766,643,064/1,667,609,920 = 1,667,609,920/x - Step 3: Cross multiply
766,643,064x = 1,667,609,920 × 1,667,609,920 - Step 4: Simplify right side
766,643,064x = 2,780,922,845,282,406,400 - Step 5: Solve for x
x = 2,780,922,845,282,406,400/766,643,064 - Step 6: Final answer
x = 3,627,402,341.28
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.