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Finding the Third Proportional to 5,182,116,032 and 11,189,957,728

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Solution

The third proportional to 5,182,116,032 and 11,189,957,728 is: 24,162,939,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,116,032 : 11,189,957,728 = 11,189,957,728 : x
  2. Step 2: Convert to fraction form
    5,182,116,032/11,189,957,728 = 11,189,957,728/x
  3. Step 3: Cross multiply
    5,182,116,032x = 11,189,957,728 × 11,189,957,728
  4. Step 4: Simplify right side
    5,182,116,032x = 125,215,153,954,426,929,152
  5. Step 5: Solve for x
    x = 125,215,153,954,426,929,152/5,182,116,032
  6. Step 6: Final answer
    x = 24,162,939,073.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.