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Finding the Third Proportional to 304,225,860 and 664,200,472

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Solution

The third proportional to 304,225,860 and 664,200,472 is: 1,450,114,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,225,860 : 664,200,472 = 664,200,472 : x
  2. Step 2: Convert to fraction form
    304,225,860/664,200,472 = 664,200,472/x
  3. Step 3: Cross multiply
    304,225,860x = 664,200,472 × 664,200,472
  4. Step 4: Simplify right side
    304,225,860x = 441,162,267,005,022,784
  5. Step 5: Solve for x
    x = 441,162,267,005,022,784/304,225,860
  6. Step 6: Final answer
    x = 1,450,114,290.10

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Why These Related Problems?

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