Finding the Third Proportional to 210,865,737,416 and 321,232,163,944
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Solution
The third proportional to 210,865,737,416 and 321,232,163,944 is: 489,364,011,511.12
Step by Step Solution
- Step 1: Write the proportion equation
210,865,737,416 : 321,232,163,944 = 321,232,163,944 : x - Step 2: Convert to fraction form
210,865,737,416/321,232,163,944 = 321,232,163,944/x - Step 3: Cross multiply
210,865,737,416x = 321,232,163,944 × 321,232,163,944 - Step 4: Simplify right side
210,865,737,416x = 103,190,103,152,144,897,015,808 - Step 5: Solve for x
x = 103,190,103,152,144,897,015,808/210,865,737,416 - Step 6: Final answer
x = 489,364,011,511.12
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.