Finding the Third Proportional to 468,259,780,164 and 745,093,362,688.50
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Solution
The third proportional to 468,259,780,164 and 745,093,362,688.50 is: 1,185,590,013,577.55
Step by Step Solution
- Step 1: Write the proportion equation
468,259,780,164 : 745,093,362,688.50 = 745,093,362,688.50 : x - Step 2: Convert to fraction form
468,259,780,164/745,093,362,688.50 = 745,093,362,688.50/x - Step 3: Cross multiply
468,259,780,164x = 745,093,362,688.50 × 745,093,362,688.50 - Step 4: Simplify right side
468,259,780,164x = 555,164,119,122,456,610,865,152 - Step 5: Solve for x
x = 555,164,119,122,456,610,865,152/468,259,780,164 - Step 6: Final answer
x = 1,185,590,013,577.55
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.