Finding the Third Proportional to 414,241,836.12 and 620,756,802.14
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Solution
The third proportional to 414,241,836.12 and 620,756,802.14 is: 930,227,161.54
Step by Step Solution
- Step 1: Write the proportion equation
414,241,836.12 : 620,756,802.14 = 620,756,802.14 : x - Step 2: Convert to fraction form
414,241,836.12/620,756,802.14 = 620,756,802.14/x - Step 3: Cross multiply
414,241,836.12x = 620,756,802.14 × 620,756,802.14 - Step 4: Simplify right side
414,241,836.12x = 385,339,007,403,824,000 - Step 5: Solve for x
x = 385,339,007,403,824,000/414,241,836.12 - Step 6: Final answer
x = 930,227,161.54
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.