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Finding the Third Proportional to 6,764,548 and 15,786,874

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Solution

The third proportional to 6,764,548 and 15,786,874 is: 36,842,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764,548 : 15,786,874 = 15,786,874 : x
  2. Step 2: Convert to fraction form
    6,764,548/15,786,874 = 15,786,874/x
  3. Step 3: Cross multiply
    6,764,548x = 15,786,874 × 15,786,874
  4. Step 4: Simplify right side
    6,764,548x = 249,225,390,691,876
  5. Step 5: Solve for x
    x = 249,225,390,691,876/6,764,548
  6. Step 6: Final answer
    x = 36,842,874.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.