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Finding the Third Proportional to 8,318,094,925 and 18,495,997,160

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Solution

The third proportional to 8,318,094,925 and 18,495,997,160 is: 41,127,435,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318,094,925 : 18,495,997,160 = 18,495,997,160 : x
  2. Step 2: Convert to fraction form
    8,318,094,925/18,495,997,160 = 18,495,997,160/x
  3. Step 3: Cross multiply
    8,318,094,925x = 18,495,997,160 × 18,495,997,160
  4. Step 4: Simplify right side
    8,318,094,925x = 342,101,910,942,728,060,928
  5. Step 5: Solve for x
    x = 342,101,910,942,728,060,928/8,318,094,925
  6. Step 6: Final answer
    x = 41,127,435,311.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.