Finding the Third Proportional to 470,676,897 and 1,026,102,120.75
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Solution
The third proportional to 470,676,897 and 1,026,102,120.75 is: 2,236,960,362.66
Step by Step Solution
- Step 1: Write the proportion equation
470,676,897 : 1,026,102,120.75 = 1,026,102,120.75 : x - Step 2: Convert to fraction form
470,676,897/1,026,102,120.75 = 1,026,102,120.75/x - Step 3: Cross multiply
470,676,897x = 1,026,102,120.75 × 1,026,102,120.75 - Step 4: Simplify right side
470,676,897x = 1,052,885,562,207,647,616 - Step 5: Solve for x
x = 1,052,885,562,207,647,616/470,676,897 - Step 6: Final answer
x = 2,236,960,362.66
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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.