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Finding the Third Proportional to 4,934,652.75 and 11,003,941.13

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Solution

The third proportional to 4,934,652.75 and 11,003,941.13 is: 24,538,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934,652.75 : 11,003,941.13 = 11,003,941.13 : x
  2. Step 2: Convert to fraction form
    4,934,652.75/11,003,941.13 = 11,003,941.13/x
  3. Step 3: Cross multiply
    4,934,652.75x = 11,003,941.13 × 11,003,941.13
  4. Step 4: Simplify right side
    4,934,652.75x = 121,086,720,282,466.27
  5. Step 5: Solve for x
    x = 121,086,720,282,466.27/4,934,652.75
  6. Step 6: Final answer
    x = 24,538,042.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.