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Finding the Third Proportional to 192,387,642 and 412,016,561

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Solution

The third proportional to 192,387,642 and 412,016,561 is: 882,372,925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,387,642 : 412,016,561 = 412,016,561 : x
  2. Step 2: Convert to fraction form
    192,387,642/412,016,561 = 412,016,561/x
  3. Step 3: Cross multiply
    192,387,642x = 412,016,561 × 412,016,561
  4. Step 4: Simplify right side
    192,387,642x = 169,757,646,538,266,720
  5. Step 5: Solve for x
    x = 169,757,646,538,266,720/192,387,642
  6. Step 6: Final answer
    x = 882,372,925.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.