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Finding the Third Proportional to 636,469,524 and 950,784,498

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Solution

The third proportional to 636,469,524 and 950,784,498 is: 1,420,321,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,469,524 : 950,784,498 = 950,784,498 : x
  2. Step 2: Convert to fraction form
    636,469,524/950,784,498 = 950,784,498/x
  3. Step 3: Cross multiply
    636,469,524x = 950,784,498 × 950,784,498
  4. Step 4: Simplify right side
    636,469,524x = 903,991,161,637,112,064
  5. Step 5: Solve for x
    x = 903,991,161,637,112,064/636,469,524
  6. Step 6: Final answer
    x = 1,420,321,205.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.