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Finding the Third Proportional to 494,609,963,412 and 1,071,350,492,136

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Solution

The third proportional to 494,609,963,412 and 1,071,350,492,136 is: 2,320,599,991,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,609,963,412 : 1,071,350,492,136 = 1,071,350,492,136 : x
  2. Step 2: Convert to fraction form
    494,609,963,412/1,071,350,492,136 = 1,071,350,492,136/x
  3. Step 3: Cross multiply
    494,609,963,412x = 1,071,350,492,136 × 1,071,350,492,136
  4. Step 4: Simplify right side
    494,609,963,412x = 1,147,791,877,000,049,377,411,072
  5. Step 5: Solve for x
    x = 1,147,791,877,000,049,377,411,072/494,609,963,412
  6. Step 6: Final answer
    x = 2,320,599,991,723.10

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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.