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Finding the Third Proportional to 3,251,400 and 7,146,396

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Solution

The third proportional to 3,251,400 and 7,146,396 is: 15,707,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,400 : 7,146,396 = 7,146,396 : x
  2. Step 2: Convert to fraction form
    3,251,400/7,146,396 = 7,146,396/x
  3. Step 3: Cross multiply
    3,251,400x = 7,146,396 × 7,146,396
  4. Step 4: Simplify right side
    3,251,400x = 51,070,975,788,816
  5. Step 5: Solve for x
    x = 51,070,975,788,816/3,251,400
  6. Step 6: Final answer
    x = 15,707,380.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.