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Finding the Third Proportional to 11,932,483,825 and 16,591,164,977

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Solution

The third proportional to 11,932,483,825 and 16,591,164,977 is: 23,068,688,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932,483,825 : 16,591,164,977 = 16,591,164,977 : x
  2. Step 2: Convert to fraction form
    11,932,483,825/16,591,164,977 = 16,591,164,977/x
  3. Step 3: Cross multiply
    11,932,483,825x = 16,591,164,977 × 16,591,164,977
  4. Step 4: Simplify right side
    11,932,483,825x = 275,266,755,294,031,413,248
  5. Step 5: Solve for x
    x = 275,266,755,294,031,413,248/11,932,483,825
  6. Step 6: Final answer
    x = 23,068,688,743.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.