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Finding the Third Proportional to 5,352,821,661 and 11,595,116,634

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Solution

The third proportional to 5,352,821,661 and 11,595,116,634 is: 25,116,982,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352,821,661 : 11,595,116,634 = 11,595,116,634 : x
  2. Step 2: Convert to fraction form
    5,352,821,661/11,595,116,634 = 11,595,116,634/x
  3. Step 3: Cross multiply
    5,352,821,661x = 11,595,116,634 × 11,595,116,634
  4. Step 4: Simplify right side
    5,352,821,661x = 134,446,729,756,063,481,856
  5. Step 5: Solve for x
    x = 134,446,729,756,063,481,856/5,352,821,661
  6. Step 6: Final answer
    x = 25,116,982,830.87

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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.