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Finding the Third Proportional to 13,438,698 and 20,752,149

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Solution

The third proportional to 13,438,698 and 20,752,149 is: 32,045,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438,698 : 20,752,149 = 20,752,149 : x
  2. Step 2: Convert to fraction form
    13,438,698/20,752,149 = 20,752,149/x
  3. Step 3: Cross multiply
    13,438,698x = 20,752,149 × 20,752,149
  4. Step 4: Simplify right side
    13,438,698x = 430,651,688,118,201
  5. Step 5: Solve for x
    x = 430,651,688,118,201/13,438,698
  6. Step 6: Final answer
    x = 32,045,640.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.