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Finding the Third Proportional to 6,105,960 and 8,292,431.25

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Solution

The third proportional to 6,105,960 and 8,292,431.25 is: 11,261,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105,960 : 8,292,431.25 = 8,292,431.25 : x
  2. Step 2: Convert to fraction form
    6,105,960/8,292,431.25 = 8,292,431.25/x
  3. Step 3: Cross multiply
    6,105,960x = 8,292,431.25 × 8,292,431.25
  4. Step 4: Simplify right side
    6,105,960x = 68,764,416,035,976.56
  5. Step 5: Solve for x
    x = 68,764,416,035,976.56/6,105,960
  6. Step 6: Final answer
    x = 11,261,851.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.