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Finding the Third Proportional to 23,641,224 and 50,129,216

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Solution

The third proportional to 23,641,224 and 50,129,216 is: 106,294,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641,224 : 50,129,216 = 50,129,216 : x
  2. Step 2: Convert to fraction form
    23,641,224/50,129,216 = 50,129,216/x
  3. Step 3: Cross multiply
    23,641,224x = 50,129,216 × 50,129,216
  4. Step 4: Simplify right side
    23,641,224x = 2,512,938,296,774,656
  5. Step 5: Solve for x
    x = 2,512,938,296,774,656/23,641,224
  6. Step 6: Final answer
    x = 106,294,762.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.