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Finding the Third Proportional to 10,451,720.25 and 22,505,144.25

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Solution

The third proportional to 10,451,720.25 and 22,505,144.25 is: 48,459,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451,720.25 : 22,505,144.25 = 22,505,144.25 : x
  2. Step 2: Convert to fraction form
    10,451,720.25/22,505,144.25 = 22,505,144.25/x
  3. Step 3: Cross multiply
    10,451,720.25x = 22,505,144.25 × 22,505,144.25
  4. Step 4: Simplify right side
    10,451,720.25x = 506,481,517,713,308.06
  5. Step 5: Solve for x
    x = 506,481,517,713,308.06/10,451,720.25
  6. Step 6: Final answer
    x = 48,459,153.67

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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.