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Finding the Third Proportional to 324,790,167 and 757,869,900

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Solution

The third proportional to 324,790,167 and 757,869,900 is: 1,768,424,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,790,167 : 757,869,900 = 757,869,900 : x
  2. Step 2: Convert to fraction form
    324,790,167/757,869,900 = 757,869,900/x
  3. Step 3: Cross multiply
    324,790,167x = 757,869,900 × 757,869,900
  4. Step 4: Simplify right side
    324,790,167x = 574,366,785,326,009,984
  5. Step 5: Solve for x
    x = 574,366,785,326,009,984/324,790,167
  6. Step 6: Final answer
    x = 1,768,424,181.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.