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Finding the Third Proportional to 6,825,574 and 14,936,780

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Solution

The third proportional to 6,825,574 and 14,936,780 is: 32,686,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825,574 : 14,936,780 = 14,936,780 : x
  2. Step 2: Convert to fraction form
    6,825,574/14,936,780 = 14,936,780/x
  3. Step 3: Cross multiply
    6,825,574x = 14,936,780 × 14,936,780
  4. Step 4: Simplify right side
    6,825,574x = 223,107,396,768,400
  5. Step 5: Solve for x
    x = 223,107,396,768,400/6,825,574
  6. Step 6: Final answer
    x = 32,686,979.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.