Finding the Third Proportional to 312,007,762 and 676,076,708
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Solution
The third proportional to 312,007,762 and 676,076,708 is: 1,464,962,641.22
Step by Step Solution
- Step 1: Write the proportion equation
312,007,762 : 676,076,708 = 676,076,708 : x - Step 2: Convert to fraction form
312,007,762/676,076,708 = 676,076,708/x - Step 3: Cross multiply
312,007,762x = 676,076,708 × 676,076,708 - Step 4: Simplify right side
312,007,762x = 457,079,715,100,117,248 - Step 5: Solve for x
x = 457,079,715,100,117,248/312,007,762 - Step 6: Final answer
x = 1,464,962,641.22
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.