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Finding the Third Proportional to 11,742,618 and 16,536,282

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Solution

The third proportional to 11,742,618 and 16,536,282 is: 23,286,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742,618 : 16,536,282 = 16,536,282 : x
  2. Step 2: Convert to fraction form
    11,742,618/16,536,282 = 16,536,282/x
  3. Step 3: Cross multiply
    11,742,618x = 16,536,282 × 16,536,282
  4. Step 4: Simplify right side
    11,742,618x = 273,448,622,383,524
  5. Step 5: Solve for x
    x = 273,448,622,383,524/11,742,618
  6. Step 6: Final answer
    x = 23,286,853.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.