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Finding the Third Proportional to 250,024,652 and 538,451,008

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Solution

The third proportional to 250,024,652 and 538,451,008 is: 1,159,603,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,024,652 : 538,451,008 = 538,451,008 : x
  2. Step 2: Convert to fraction form
    250,024,652/538,451,008 = 538,451,008/x
  3. Step 3: Cross multiply
    250,024,652x = 538,451,008 × 538,451,008
  4. Step 4: Simplify right side
    250,024,652x = 289,929,488,016,216,064
  5. Step 5: Solve for x
    x = 289,929,488,016,216,064/250,024,652
  6. Step 6: Final answer
    x = 1,159,603,605.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.