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Finding the Third Proportional to 6,387,865.50 and 13,853,832

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Solution

The third proportional to 6,387,865.50 and 13,853,832 is: 30,045,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387,865.50 : 13,853,832 = 13,853,832 : x
  2. Step 2: Convert to fraction form
    6,387,865.50/13,853,832 = 13,853,832/x
  3. Step 3: Cross multiply
    6,387,865.50x = 13,853,832 × 13,853,832
  4. Step 4: Simplify right side
    6,387,865.50x = 191,928,661,084,224
  5. Step 5: Solve for x
    x = 191,928,661,084,224/6,387,865.50
  6. Step 6: Final answer
    x = 30,045,820.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.