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Finding the Third Proportional to 400,024,512 and 601,101,843.75

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Solution

The third proportional to 400,024,512 and 601,101,843.75 is: 903,253,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,024,512 : 601,101,843.75 = 601,101,843.75 : x
  2. Step 2: Convert to fraction form
    400,024,512/601,101,843.75 = 601,101,843.75/x
  3. Step 3: Cross multiply
    400,024,512x = 601,101,843.75 × 601,101,843.75
  4. Step 4: Simplify right side
    400,024,512x = 361,323,426,559,649,408
  5. Step 5: Solve for x
    x = 361,323,426,559,649,408/400,024,512
  6. Step 6: Final answer
    x = 903,253,215.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.