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Finding the Third Proportional to 324,369,828 and 671,734,746

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Solution

The third proportional to 324,369,828 and 671,734,746 is: 1,391,089,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,369,828 : 671,734,746 = 671,734,746 : x
  2. Step 2: Convert to fraction form
    324,369,828/671,734,746 = 671,734,746/x
  3. Step 3: Cross multiply
    324,369,828x = 671,734,746 × 671,734,746
  4. Step 4: Simplify right side
    324,369,828x = 451,227,568,983,684,544
  5. Step 5: Solve for x
    x = 451,227,568,983,684,544/324,369,828
  6. Step 6: Final answer
    x = 1,391,089,830.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.