Finding the Third Proportional to 473,529,543,918 and 684,168,417,747
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Solution
The third proportional to 473,529,543,918 and 684,168,417,747 is: 988,505,215,470.76
Step by Step Solution
- Step 1: Write the proportion equation
473,529,543,918 : 684,168,417,747 = 684,168,417,747 : x - Step 2: Convert to fraction form
473,529,543,918/684,168,417,747 = 684,168,417,747/x - Step 3: Cross multiply
473,529,543,918x = 684,168,417,747 × 684,168,417,747 - Step 4: Simplify right side
473,529,543,918x = 468,086,423,842,433,473,183,744 - Step 5: Solve for x
x = 468,086,423,842,433,473,183,744/473,529,543,918 - Step 6: Final answer
x = 988,505,215,470.76
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.