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Finding the Third Proportional to 8,318,094,967 and 18,495,997,231

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Solution

The third proportional to 8,318,094,967 and 18,495,997,231 is: 41,127,435,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318,094,967 : 18,495,997,231 = 18,495,997,231 : x
  2. Step 2: Convert to fraction form
    8,318,094,967/18,495,997,231 = 18,495,997,231/x
  3. Step 3: Cross multiply
    8,318,094,967x = 18,495,997,231 × 18,495,997,231
  4. Step 4: Simplify right side
    8,318,094,967x = 342,101,913,569,159,675,904
  5. Step 5: Solve for x
    x = 342,101,913,569,159,675,904/8,318,094,967
  6. Step 6: Final answer
    x = 41,127,435,419.57

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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.