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Finding the Third Proportional to 300,428,202 and 633,136,524

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Solution

The third proportional to 300,428,202 and 633,136,524 is: 1,334,301,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,428,202 : 633,136,524 = 633,136,524 : x
  2. Step 2: Convert to fraction form
    300,428,202/633,136,524 = 633,136,524/x
  3. Step 3: Cross multiply
    300,428,202x = 633,136,524 × 633,136,524
  4. Step 4: Simplify right side
    300,428,202x = 400,861,858,022,802,560
  5. Step 5: Solve for x
    x = 400,861,858,022,802,560/300,428,202
  6. Step 6: Final answer
    x = 1,334,301,691.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.