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Finding the Third Proportional to 3,335,974 and 6,764,780

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Solution

The third proportional to 3,335,974 and 6,764,780 is: 13,717,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335,974 : 6,764,780 = 6,764,780 : x
  2. Step 2: Convert to fraction form
    3,335,974/6,764,780 = 6,764,780/x
  3. Step 3: Cross multiply
    3,335,974x = 6,764,780 × 6,764,780
  4. Step 4: Simplify right side
    3,335,974x = 45,762,248,448,400
  5. Step 5: Solve for x
    x = 45,762,248,448,400/3,335,974
  6. Step 6: Final answer
    x = 13,717,807.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.