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Finding the Third Proportional to 10,672,117,224 and 23,181,400,956

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Solution

The third proportional to 10,672,117,224 and 23,181,400,956 is: 50,353,396,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672,117,224 : 23,181,400,956 = 23,181,400,956 : x
  2. Step 2: Convert to fraction form
    10,672,117,224/23,181,400,956 = 23,181,400,956/x
  3. Step 3: Cross multiply
    10,672,117,224x = 23,181,400,956 × 23,181,400,956
  4. Step 4: Simplify right side
    10,672,117,224x = 537,377,350,282,837,688,320
  5. Step 5: Solve for x
    x = 537,377,350,282,837,688,320/10,672,117,224
  6. Step 6: Final answer
    x = 50,353,396,519.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.