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Finding the Third Proportional to 322,322,136 and 690,597,243

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Solution

The third proportional to 322,322,136 and 690,597,243 is: 1,479,651,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,322,136 : 690,597,243 = 690,597,243 : x
  2. Step 2: Convert to fraction form
    322,322,136/690,597,243 = 690,597,243/x
  3. Step 3: Cross multiply
    322,322,136x = 690,597,243 × 690,597,243
  4. Step 4: Simplify right side
    322,322,136x = 476,924,552,039,201,024
  5. Step 5: Solve for x
    x = 476,924,552,039,201,024/322,322,136
  6. Step 6: Final answer
    x = 1,479,651,872.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.