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Finding the Third Proportional to 494,609,963,420 and 1,071,350,492,152

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Solution

The third proportional to 494,609,963,420 and 1,071,350,492,152 is: 2,320,599,991,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,609,963,420 : 1,071,350,492,152 = 1,071,350,492,152 : x
  2. Step 2: Convert to fraction form
    494,609,963,420/1,071,350,492,152 = 1,071,350,492,152/x
  3. Step 3: Cross multiply
    494,609,963,420x = 1,071,350,492,152 × 1,071,350,492,152
  4. Step 4: Simplify right side
    494,609,963,420x = 1,147,791,877,034,332,611,674,112
  5. Step 5: Solve for x
    x = 1,147,791,877,034,332,611,674,112/494,609,963,420
  6. Step 6: Final answer
    x = 2,320,599,991,754.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.