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Finding the Third Proportional to 192,795,662 and 424,702,012

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Solution

The third proportional to 192,795,662 and 424,702,012 is: 935,559,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,795,662 : 424,702,012 = 424,702,012 : x
  2. Step 2: Convert to fraction form
    192,795,662/424,702,012 = 424,702,012/x
  3. Step 3: Cross multiply
    192,795,662x = 424,702,012 × 424,702,012
  4. Step 4: Simplify right side
    192,795,662x = 180,371,798,996,848,128
  5. Step 5: Solve for x
    x = 180,371,798,996,848,128/192,795,662
  6. Step 6: Final answer
    x = 935,559,426.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.