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Finding the Third Proportional to 10,767,097.50 and 16,549,800

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Solution

The third proportional to 10,767,097.50 and 16,549,800 is: 25,438,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767,097.50 : 16,549,800 = 16,549,800 : x
  2. Step 2: Convert to fraction form
    10,767,097.50/16,549,800 = 16,549,800/x
  3. Step 3: Cross multiply
    10,767,097.50x = 16,549,800 × 16,549,800
  4. Step 4: Simplify right side
    10,767,097.50x = 273,895,880,040,000
  5. Step 5: Solve for x
    x = 273,895,880,040,000/10,767,097.50
  6. Step 6: Final answer
    x = 25,438,227.90

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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.