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Finding the Third Proportional to 433,040,112 and 625,668,165

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Solution

The third proportional to 433,040,112 and 625,668,165 is: 903,982,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,040,112 : 625,668,165 = 625,668,165 : x
  2. Step 2: Convert to fraction form
    433,040,112/625,668,165 = 625,668,165/x
  3. Step 3: Cross multiply
    433,040,112x = 625,668,165 × 625,668,165
  4. Step 4: Simplify right side
    433,040,112x = 391,460,652,694,467,200
  5. Step 5: Solve for x
    x = 391,460,652,694,467,200/433,040,112
  6. Step 6: Final answer
    x = 903,982,429.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.