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Finding the Third Proportional to 494,609,963,424 and 1,071,350,492,160

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Solution

The third proportional to 494,609,963,424 and 1,071,350,492,160 is: 2,320,599,991,770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,609,963,424 : 1,071,350,492,160 = 1,071,350,492,160 : x
  2. Step 2: Convert to fraction form
    494,609,963,424/1,071,350,492,160 = 1,071,350,492,160/x
  3. Step 3: Cross multiply
    494,609,963,424x = 1,071,350,492,160 × 1,071,350,492,160
  4. Step 4: Simplify right side
    494,609,963,424x = 1,147,791,877,051,474,228,805,632
  5. Step 5: Solve for x
    x = 1,147,791,877,051,474,228,805,632/494,609,963,424
  6. Step 6: Final answer
    x = 2,320,599,991,770.77

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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.