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Finding the Third Proportional to 5,339,349 and 11,057,215.50

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Solution

The third proportional to 5,339,349 and 11,057,215.50 is: 22,898,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339,349 : 11,057,215.50 = 11,057,215.50 : x
  2. Step 2: Convert to fraction form
    5,339,349/11,057,215.50 = 11,057,215.50/x
  3. Step 3: Cross multiply
    5,339,349x = 11,057,215.50 × 11,057,215.50
  4. Step 4: Simplify right side
    5,339,349x = 122,262,014,613,440.25
  5. Step 5: Solve for x
    x = 122,262,014,613,440.25/5,339,349
  6. Step 6: Final answer
    x = 22,898,299.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.