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Finding the Third Proportional to 6,711,274 and 10,067,641

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Solution

The third proportional to 6,711,274 and 10,067,641 is: 15,102,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711,274 : 10,067,641 = 10,067,641 : x
  2. Step 2: Convert to fraction form
    6,711,274/10,067,641 = 10,067,641/x
  3. Step 3: Cross multiply
    6,711,274x = 10,067,641 × 10,067,641
  4. Step 4: Simplify right side
    6,711,274x = 101,357,395,304,881
  5. Step 5: Solve for x
    x = 101,357,395,304,881/6,711,274
  6. Step 6: Final answer
    x = 15,102,556.58

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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.