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Finding the Third Proportional to 11,932,483,811 and 16,591,164,957

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Solution

The third proportional to 11,932,483,811 and 16,591,164,957 is: 23,068,688,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932,483,811 : 16,591,164,957 = 16,591,164,957 : x
  2. Step 2: Convert to fraction form
    11,932,483,811/16,591,164,957 = 16,591,164,957/x
  3. Step 3: Cross multiply
    11,932,483,811x = 16,591,164,957 × 16,591,164,957
  4. Step 4: Simplify right side
    11,932,483,811x = 275,266,754,630,384,812,032
  5. Step 5: Solve for x
    x = 275,266,754,630,384,812,032/11,932,483,811
  6. Step 6: Final answer
    x = 23,068,688,714.80

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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.