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Finding the Third Proportional to 11,429,450 and 15,564,783

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Solution

The third proportional to 11,429,450 and 15,564,783 is: 21,196,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429,450 : 15,564,783 = 15,564,783 : x
  2. Step 2: Convert to fraction form
    11,429,450/15,564,783 = 15,564,783/x
  3. Step 3: Cross multiply
    11,429,450x = 15,564,783 × 15,564,783
  4. Step 4: Simplify right side
    11,429,450x = 242,262,469,837,089
  5. Step 5: Solve for x
    x = 242,262,469,837,089/11,429,450
  6. Step 6: Final answer
    x = 21,196,336.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.