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Finding the Third Proportional to 6,485,976 and 15,013,260

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Solution

The third proportional to 6,485,976 and 15,013,260 is: 34,751,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485,976 : 15,013,260 = 15,013,260 : x
  2. Step 2: Convert to fraction form
    6,485,976/15,013,260 = 15,013,260/x
  3. Step 3: Cross multiply
    6,485,976x = 15,013,260 × 15,013,260
  4. Step 4: Simplify right side
    6,485,976x = 225,397,975,827,600
  5. Step 5: Solve for x
    x = 225,397,975,827,600/6,485,976
  6. Step 6: Final answer
    x = 34,751,589.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.