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Finding the Third Proportional to 10,680,810 and 16,548,961.50

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Solution

The third proportional to 10,680,810 and 16,548,961.50 is: 25,641,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680,810 : 16,548,961.50 = 16,548,961.50 : x
  2. Step 2: Convert to fraction form
    10,680,810/16,548,961.50 = 16,548,961.50/x
  3. Step 3: Cross multiply
    10,680,810x = 16,548,961.50 × 16,548,961.50
  4. Step 4: Simplify right side
    10,680,810x = 273,868,126,728,482.25
  5. Step 5: Solve for x
    x = 273,868,126,728,482.25/10,680,810
  6. Step 6: Final answer
    x = 25,641,138.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.