Finding the Third Proportional to 5,752,936,406,180 and 12,518,621,367,072
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Solution
The third proportional to 5,752,936,406,180 and 12,518,621,367,072 is: 27,241,024,386,044.33
Step by Step Solution
- Step 1: Write the proportion equation
5,752,936,406,180 : 12,518,621,367,072 = 12,518,621,367,072 : x - Step 2: Convert to fraction form
5,752,936,406,180/12,518,621,367,072 = 12,518,621,367,072/x - Step 3: Cross multiply
5,752,936,406,180x = 12,518,621,367,072 × 12,518,621,367,072 - Step 4: Simplify right side
5,752,936,406,180x = 156,715,880,932,111,625,406,644,224 - Step 5: Solve for x
x = 156,715,880,932,111,625,406,644,224/5,752,936,406,180 - Step 6: Final answer
x = 27,241,024,386,044.33
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.