Finding the Third Proportional to 462,431,214 and 668,133,248
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Solution
The third proportional to 462,431,214 and 668,133,248 is: 965,337,164.90
Step by Step Solution
- Step 1: Write the proportion equation
462,431,214 : 668,133,248 = 668,133,248 : x - Step 2: Convert to fraction form
462,431,214/668,133,248 = 668,133,248/x - Step 3: Cross multiply
462,431,214x = 668,133,248 × 668,133,248 - Step 4: Simplify right side
462,431,214x = 446,402,037,083,029,504 - Step 5: Solve for x
x = 446,402,037,083,029,504/462,431,214 - Step 6: Final answer
x = 965,337,164.90
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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.