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Finding the Third Proportional to 23,337,457,487 and 50,214,471,344

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Solution

The third proportional to 23,337,457,487 and 50,214,471,344 is: 108,044,894,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,337,457,487 : 50,214,471,344 = 50,214,471,344 : x
  2. Step 2: Convert to fraction form
    23,337,457,487/50,214,471,344 = 50,214,471,344/x
  3. Step 3: Cross multiply
    23,337,457,487x = 50,214,471,344 × 50,214,471,344
  4. Step 4: Simplify right side
    23,337,457,487x = 2,521,493,132,357,397,381,120
  5. Step 5: Solve for x
    x = 2,521,493,132,357,397,381,120/23,337,457,487
  6. Step 6: Final answer
    x = 108,044,894,511.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.