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Finding the Third Proportional to 3,231,545,664 and 4,912,475,824

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Solution

The third proportional to 3,231,545,664 and 4,912,475,824 is: 7,467,763,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231,545,664 : 4,912,475,824 = 4,912,475,824 : x
  2. Step 2: Convert to fraction form
    3,231,545,664/4,912,475,824 = 4,912,475,824/x
  3. Step 3: Cross multiply
    3,231,545,664x = 4,912,475,824 × 4,912,475,824
  4. Step 4: Simplify right side
    3,231,545,664x = 24,132,418,721,384,480,768
  5. Step 5: Solve for x
    x = 24,132,418,721,384,480,768/3,231,545,664
  6. Step 6: Final answer
    x = 7,467,763,488.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.