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Finding the Third Proportional to 11,742,648 and 16,536,318

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Solution

The third proportional to 11,742,648 and 16,536,318 is: 23,286,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742,648 : 16,536,318 = 16,536,318 : x
  2. Step 2: Convert to fraction form
    11,742,648/16,536,318 = 16,536,318/x
  3. Step 3: Cross multiply
    11,742,648x = 16,536,318 × 16,536,318
  4. Step 4: Simplify right side
    11,742,648x = 273,449,812,997,124
  5. Step 5: Solve for x
    x = 273,449,812,997,124/11,742,648
  6. Step 6: Final answer
    x = 23,286,895.17

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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.