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Finding the Third Proportional to 29,183,022,492 and 59,178,096,876

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Solution

The third proportional to 29,183,022,492 and 59,178,096,876 is: 120,002,893,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,183,022,492 : 59,178,096,876 = 59,178,096,876 : x
  2. Step 2: Convert to fraction form
    29,183,022,492/59,178,096,876 = 59,178,096,876/x
  3. Step 3: Cross multiply
    29,183,022,492x = 59,178,096,876 × 59,178,096,876
  4. Step 4: Simplify right side
    29,183,022,492x = 3,502,047,149,865,241,149,440
  5. Step 5: Solve for x
    x = 3,502,047,149,865,241,149,440/29,183,022,492
  6. Step 6: Final answer
    x = 120,002,893,834.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.