Finding the Third Proportional to 537,553,875,311 and 1,151,782,956,469
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Solution
The third proportional to 537,553,875,311 and 1,151,782,956,469 is: 2,467,853,065,043.89
Step by Step Solution
- Step 1: Write the proportion equation
537,553,875,311 : 1,151,782,956,469 = 1,151,782,956,469 : x - Step 2: Convert to fraction form
537,553,875,311/1,151,782,956,469 = 1,151,782,956,469/x - Step 3: Cross multiply
537,553,875,311x = 1,151,782,956,469 × 1,151,782,956,469 - Step 4: Simplify right side
537,553,875,311x = 1,326,603,978,812,470,245,457,920 - Step 5: Solve for x
x = 1,326,603,978,812,470,245,457,920/537,553,875,311 - Step 6: Final answer
x = 2,467,853,065,043.89
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.