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Finding the Third Proportional to 659,479,982,331 and 1,428,467,379,102

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Solution

The third proportional to 659,479,982,331 and 1,428,467,379,102 is: 3,094,133,420,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,479,982,331 : 1,428,467,379,102 = 1,428,467,379,102 : x
  2. Step 2: Convert to fraction form
    659,479,982,331/1,428,467,379,102 = 1,428,467,379,102/x
  3. Step 3: Cross multiply
    659,479,982,331x = 1,428,467,379,102 × 1,428,467,379,102
  4. Step 4: Simplify right side
    659,479,982,331x = 2,040,519,053,158,537,110,749,184
  5. Step 5: Solve for x
    x = 2,040,519,053,158,537,110,749,184/659,479,982,331
  6. Step 6: Final answer
    x = 3,094,133,420,010.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.