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Finding the Third Proportional to 10,954,876 and 23,641,832

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Solution

The third proportional to 10,954,876 and 23,641,832 is: 51,021,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954,876 : 23,641,832 = 23,641,832 : x
  2. Step 2: Convert to fraction form
    10,954,876/23,641,832 = 23,641,832/x
  3. Step 3: Cross multiply
    10,954,876x = 23,641,832 × 23,641,832
  4. Step 4: Simplify right side
    10,954,876x = 558,936,220,316,224
  5. Step 5: Solve for x
    x = 558,936,220,316,224/10,954,876
  6. Step 6: Final answer
    x = 51,021,683.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.