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Finding the Third Proportional to 282,645,190 and 425,383,033

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Solution

The third proportional to 282,645,190 and 425,383,033 is: 640,204,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,645,190 : 425,383,033 = 425,383,033 : x
  2. Step 2: Convert to fraction form
    282,645,190/425,383,033 = 425,383,033/x
  3. Step 3: Cross multiply
    282,645,190x = 425,383,033 × 425,383,033
  4. Step 4: Simplify right side
    282,645,190x = 180,950,724,764,279,104
  5. Step 5: Solve for x
    x = 180,950,724,764,279,104/282,645,190
  6. Step 6: Final answer
    x = 640,204,507.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.