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Finding the Third Proportional to 533,366,942 and 801,470,415

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Solution

The third proportional to 533,366,942 and 801,470,415 is: 1,204,339,406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,366,942 : 801,470,415 = 801,470,415 : x
  2. Step 2: Convert to fraction form
    533,366,942/801,470,415 = 801,470,415/x
  3. Step 3: Cross multiply
    533,366,942x = 801,470,415 × 801,470,415
  4. Step 4: Simplify right side
    533,366,942x = 642,354,826,120,272,256
  5. Step 5: Solve for x
    x = 642,354,826,120,272,256/533,366,942
  6. Step 6: Final answer
    x = 1,204,339,406.02

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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.