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Finding the Third Proportional to 324,369,834 and 671,734,758

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Solution

The third proportional to 324,369,834 and 671,734,758 is: 1,391,089,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,369,834 : 671,734,758 = 671,734,758 : x
  2. Step 2: Convert to fraction form
    324,369,834/671,734,758 = 671,734,758/x
  3. Step 3: Cross multiply
    324,369,834x = 671,734,758 × 671,734,758
  4. Step 4: Simplify right side
    324,369,834x = 451,227,585,105,318,592
  5. Step 5: Solve for x
    x = 451,227,585,105,318,592/324,369,834
  6. Step 6: Final answer
    x = 1,391,089,854.26

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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.