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Finding the Third Proportional to 30,342,337.50 and 65,540,016

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Solution

The third proportional to 30,342,337.50 and 65,540,016 is: 141,567,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342,337.50 : 65,540,016 = 65,540,016 : x
  2. Step 2: Convert to fraction form
    30,342,337.50/65,540,016 = 65,540,016/x
  3. Step 3: Cross multiply
    30,342,337.50x = 65,540,016 × 65,540,016
  4. Step 4: Simplify right side
    30,342,337.50x = 4,295,493,697,280,256
  5. Step 5: Solve for x
    x = 4,295,493,697,280,256/30,342,337.50
  6. Step 6: Final answer
    x = 141,567,659.29

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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.