Finding the Third Proportional to 238,061,781,684 and 513,994,019,580
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Solution
The third proportional to 238,061,781,684 and 513,994,019,580 is: 1,109,753,318,215.05
Step by Step Solution
- Step 1: Write the proportion equation
238,061,781,684 : 513,994,019,580 = 513,994,019,580 : x - Step 2: Convert to fraction form
238,061,781,684/513,994,019,580 = 513,994,019,580/x - Step 3: Cross multiply
238,061,781,684x = 513,994,019,580 × 513,994,019,580 - Step 4: Simplify right side
238,061,781,684x = 264,189,852,164,005,432,393,728 - Step 5: Solve for x
x = 264,189,852,164,005,432,393,728/238,061,781,684 - Step 6: Final answer
x = 1,109,753,318,215.05
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.