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Finding the Third Proportional to 6,367,087 and 13,742,493

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Solution

The third proportional to 6,367,087 and 13,742,493 is: 29,661,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367,087 : 13,742,493 = 13,742,493 : x
  2. Step 2: Convert to fraction form
    6,367,087/13,742,493 = 13,742,493/x
  3. Step 3: Cross multiply
    6,367,087x = 13,742,493 × 13,742,493
  4. Step 4: Simplify right side
    6,367,087x = 188,856,113,855,049
  5. Step 5: Solve for x
    x = 188,856,113,855,049/6,367,087
  6. Step 6: Final answer
    x = 29,661,305.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.