Finding the Third Proportional to 462,431,204 and 668,133,234
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Solution
The third proportional to 462,431,204 and 668,133,234 is: 965,337,145.32
Step by Step Solution
- Step 1: Write the proportion equation
462,431,204 : 668,133,234 = 668,133,234 : x - Step 2: Convert to fraction form
462,431,204/668,133,234 = 668,133,234/x - Step 3: Cross multiply
462,431,204x = 668,133,234 × 668,133,234 - Step 4: Simplify right side
462,431,204x = 446,402,018,375,298,752 - Step 5: Solve for x
x = 446,402,018,375,298,752/462,431,204 - Step 6: Final answer
x = 965,337,145.32
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.