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Finding the Third Proportional to 6,659,976 and 9,963,231

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Solution

The third proportional to 6,659,976 and 9,963,231 is: 14,904,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659,976 : 9,963,231 = 9,963,231 : x
  2. Step 2: Convert to fraction form
    6,659,976/9,963,231 = 9,963,231/x
  3. Step 3: Cross multiply
    6,659,976x = 9,963,231 × 9,963,231
  4. Step 4: Simplify right side
    6,659,976x = 99,265,971,959,361
  5. Step 5: Solve for x
    x = 99,265,971,959,361/6,659,976
  6. Step 6: Final answer
    x = 14,904,854.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.