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Finding the Third Proportional to 30,180,937.50 and 65,375,793

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Solution

The third proportional to 30,180,937.50 and 65,375,793 is: 141,612,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180,937.50 : 65,375,793 = 65,375,793 : x
  2. Step 2: Convert to fraction form
    30,180,937.50/65,375,793 = 65,375,793/x
  3. Step 3: Cross multiply
    30,180,937.50x = 65,375,793 × 65,375,793
  4. Step 4: Simplify right side
    30,180,937.50x = 4,273,994,310,378,849
  5. Step 5: Solve for x
    x = 4,273,994,310,378,849/30,180,937.50
  6. Step 6: Final answer
    x = 141,612,377.36

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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.