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Finding the Third Proportional to 10,614,638.25 and 23,216,640.75

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Solution

The third proportional to 10,614,638.25 and 23,216,640.75 is: 50,780,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614,638.25 : 23,216,640.75 = 23,216,640.75 : x
  2. Step 2: Convert to fraction form
    10,614,638.25/23,216,640.75 = 23,216,640.75/x
  3. Step 3: Cross multiply
    10,614,638.25x = 23,216,640.75 × 23,216,640.75
  4. Step 4: Simplify right side
    10,614,638.25x = 539,012,407,714,560.56
  5. Step 5: Solve for x
    x = 539,012,407,714,560.56/10,614,638.25
  6. Step 6: Final answer
    x = 50,780,101.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.