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Finding the Third Proportional to 11,742,635 and 16,536,297

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Solution

The third proportional to 11,742,635 and 16,536,297 is: 23,286,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742,635 : 16,536,297 = 16,536,297 : x
  2. Step 2: Convert to fraction form
    11,742,635/16,536,297 = 16,536,297/x
  3. Step 3: Cross multiply
    11,742,635x = 16,536,297 × 16,536,297
  4. Step 4: Simplify right side
    11,742,635x = 273,449,118,472,209
  5. Step 5: Solve for x
    x = 273,449,118,472,209/11,742,635
  6. Step 6: Final answer
    x = 23,286,861.81

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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.