Finding the Third Proportional to 703,405,655.86 and 1,497,786,138.14
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Solution
The third proportional to 703,405,655.86 and 1,497,786,138.14 is: 3,189,288,139.67
Step by Step Solution
- Step 1: Write the proportion equation
703,405,655.86 : 1,497,786,138.14 = 1,497,786,138.14 : x - Step 2: Convert to fraction form
703,405,655.86/1,497,786,138.14 = 1,497,786,138.14/x - Step 3: Cross multiply
703,405,655.86x = 1,497,786,138.14 × 1,497,786,138.14 - Step 4: Simplify right side
703,405,655.86x = 2,243,363,315,606,132,480 - Step 5: Solve for x
x = 2,243,363,315,606,132,480/703,405,655.86 - Step 6: Final answer
x = 3,189,288,139.67
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.