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Finding the Third Proportional to 24,599,906,784 and 36,738,658,944

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Solution

The third proportional to 24,599,906,784 and 36,738,658,944 is: 54,867,242,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,599,906,784 : 36,738,658,944 = 36,738,658,944 : x
  2. Step 2: Convert to fraction form
    24,599,906,784/36,738,658,944 = 36,738,658,944/x
  3. Step 3: Cross multiply
    24,599,906,784x = 36,738,658,944 × 36,738,658,944
  4. Step 4: Simplify right side
    24,599,906,784x = 1,349,729,061,003,551,309,824
  5. Step 5: Solve for x
    x = 1,349,729,061,003,551,309,824/24,599,906,784
  6. Step 6: Final answer
    x = 54,867,242,906.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.