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Finding the Third Proportional to 13,336,407 and 21,208,189.50

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Solution

The third proportional to 13,336,407 and 21,208,189.50 is: 33,726,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,336,407 : 21,208,189.50 = 21,208,189.50 : x
  2. Step 2: Convert to fraction form
    13,336,407/21,208,189.50 = 21,208,189.50/x
  3. Step 3: Cross multiply
    13,336,407x = 21,208,189.50 × 21,208,189.50
  4. Step 4: Simplify right side
    13,336,407x = 449,787,301,867,910.25
  5. Step 5: Solve for x
    x = 449,787,301,867,910.25/13,336,407
  6. Step 6: Final answer
    x = 33,726,272.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.