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Finding the Third Proportional to 337,659,664 and 731,675,920

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Solution

The third proportional to 337,659,664 and 731,675,920 is: 1,585,471,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,659,664 : 731,675,920 = 731,675,920 : x
  2. Step 2: Convert to fraction form
    337,659,664/731,675,920 = 731,675,920/x
  3. Step 3: Cross multiply
    337,659,664x = 731,675,920 × 731,675,920
  4. Step 4: Simplify right side
    337,659,664x = 535,349,651,907,846,400
  5. Step 5: Solve for x
    x = 535,349,651,907,846,400/337,659,664
  6. Step 6: Final answer
    x = 1,585,471,138.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.