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Finding the Third Proportional to 11,248,200 and 16,798,684.50

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Solution

The third proportional to 11,248,200 and 16,798,684.50 is: 25,088,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,248,200 : 16,798,684.50 = 16,798,684.50 : x
  2. Step 2: Convert to fraction form
    11,248,200/16,798,684.50 = 16,798,684.50/x
  3. Step 3: Cross multiply
    11,248,200x = 16,798,684.50 × 16,798,684.50
  4. Step 4: Simplify right side
    11,248,200x = 282,195,800,930,540.25
  5. Step 5: Solve for x
    x = 282,195,800,930,540.25/11,248,200
  6. Step 6: Final answer
    x = 25,088,085.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.