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Finding the Third Proportional to 215,018,961 and 332,033,739

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Solution

The third proportional to 215,018,961 and 332,033,739 is: 512,728,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,018,961 : 332,033,739 = 332,033,739 : x
  2. Step 2: Convert to fraction form
    215,018,961/332,033,739 = 332,033,739/x
  3. Step 3: Cross multiply
    215,018,961x = 332,033,739 × 332,033,739
  4. Step 4: Simplify right side
    215,018,961x = 110,246,403,834,320,128
  5. Step 5: Solve for x
    x = 110,246,403,834,320,128/215,018,961
  6. Step 6: Final answer
    x = 512,728,753.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.