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Finding the Third Proportional to 10,505,676 and 22,580,592

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Solution

The third proportional to 10,505,676 and 22,580,592 is: 48,534,062.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505,676 : 22,580,592 = 22,580,592 : x
  2. Step 2: Convert to fraction form
    10,505,676/22,580,592 = 22,580,592/x
  3. Step 3: Cross multiply
    10,505,676x = 22,580,592 × 22,580,592
  4. Step 4: Simplify right side
    10,505,676x = 509,883,135,070,464
  5. Step 5: Solve for x
    x = 509,883,135,070,464/10,505,676
  6. Step 6: Final answer
    x = 48,534,062.45

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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.