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Finding the Third Proportional to 13,659,910 and 29,089,532

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Solution

The third proportional to 13,659,910 and 29,089,532 is: 61,947,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,659,910 : 29,089,532 = 29,089,532 : x
  2. Step 2: Convert to fraction form
    13,659,910/29,089,532 = 29,089,532/x
  3. Step 3: Cross multiply
    13,659,910x = 29,089,532 × 29,089,532
  4. Step 4: Simplify right side
    13,659,910x = 846,200,871,979,024
  5. Step 5: Solve for x
    x = 846,200,871,979,024/13,659,910
  6. Step 6: Final answer
    x = 61,947,763.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.