Finding the Third Proportional to 154,078,114,750 and 312,488,555,756
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Solution
The third proportional to 154,078,114,750 and 312,488,555,756 is: 633,763,579,187.81
Step by Step Solution
- Step 1: Write the proportion equation
154,078,114,750 : 312,488,555,756 = 312,488,555,756 : x - Step 2: Convert to fraction form
154,078,114,750/312,488,555,756 = 312,488,555,756/x - Step 3: Cross multiply
154,078,114,750x = 312,488,555,756 × 312,488,555,756 - Step 4: Simplify right side
154,078,114,750x = 97,649,097,478,470,725,795,840 - Step 5: Solve for x
x = 97,649,097,478,470,725,795,840/154,078,114,750 - Step 6: Final answer
x = 633,763,579,187.81
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.