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Finding the Third Proportional to 309,737,136 and 674,096,760

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Solution

The third proportional to 309,737,136 and 674,096,760 is: 1,467,071,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,737,136 : 674,096,760 = 674,096,760 : x
  2. Step 2: Convert to fraction form
    309,737,136/674,096,760 = 674,096,760/x
  3. Step 3: Cross multiply
    309,737,136x = 674,096,760 × 674,096,760
  4. Step 4: Simplify right side
    309,737,136x = 454,406,441,842,497,600
  5. Step 5: Solve for x
    x = 454,406,441,842,497,600/309,737,136
  6. Step 6: Final answer
    x = 1,467,071,232.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.