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Finding the Third Proportional to 38,337,408 and 82,520,664

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Solution

The third proportional to 38,337,408 and 82,520,664 is: 177,624,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,337,408 : 82,520,664 = 82,520,664 : x
  2. Step 2: Convert to fraction form
    38,337,408/82,520,664 = 82,520,664/x
  3. Step 3: Cross multiply
    38,337,408x = 82,520,664 × 82,520,664
  4. Step 4: Simplify right side
    38,337,408x = 6,809,659,987,000,896
  5. Step 5: Solve for x
    x = 6,809,659,987,000,896/38,337,408
  6. Step 6: Final answer
    x = 177,624,423.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.