Finding the Third Proportional to 414,535,352.63 and 886,466,323.13
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Solution
The third proportional to 414,535,352.63 and 886,466,323.13 is: 1,895,670,748.12
Step by Step Solution
- Step 1: Write the proportion equation
414,535,352.63 : 886,466,323.13 = 886,466,323.13 : x - Step 2: Convert to fraction form
414,535,352.63/886,466,323.13 = 886,466,323.13/x - Step 3: Cross multiply
414,535,352.63x = 886,466,323.13 × 886,466,323.13 - Step 4: Simplify right side
414,535,352.63x = 785,822,542,034,756,864 - Step 5: Solve for x
x = 785,822,542,034,756,864/414,535,352.63 - Step 6: Final answer
x = 1,895,670,748.12
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.