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Finding the Third Proportional to 359,521,769,520 and 528,857,754,648

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Solution

The third proportional to 359,521,769,520 and 528,857,754,648 is: 777,951,568,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,521,769,520 : 528,857,754,648 = 528,857,754,648 : x
  2. Step 2: Convert to fraction form
    359,521,769,520/528,857,754,648 = 528,857,754,648/x
  3. Step 3: Cross multiply
    359,521,769,520x = 528,857,754,648 × 528,857,754,648
  4. Step 4: Simplify right side
    359,521,769,520x = 279,690,524,651,324,170,043,392
  5. Step 5: Solve for x
    x = 279,690,524,651,324,170,043,392/359,521,769,520
  6. Step 6: Final answer
    x = 777,951,568,898.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.