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Finding the Third Proportional to 5,182,354.50 and 11,214,640.50

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Solution

The third proportional to 5,182,354.50 and 11,214,640.50 is: 24,268,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,354.50 : 11,214,640.50 = 11,214,640.50 : x
  2. Step 2: Convert to fraction form
    5,182,354.50/11,214,640.50 = 11,214,640.50/x
  3. Step 3: Cross multiply
    5,182,354.50x = 11,214,640.50 × 11,214,640.50
  4. Step 4: Simplify right side
    5,182,354.50x = 125,768,161,544,240.25
  5. Step 5: Solve for x
    x = 125,768,161,544,240.25/5,182,354.50
  6. Step 6: Final answer
    x = 24,268,536.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.