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Finding the Third Proportional to 12,808,173.50 and 19,810,769

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Solution

The third proportional to 12,808,173.50 and 19,810,769 is: 30,641,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808,173.50 : 19,810,769 = 19,810,769 : x
  2. Step 2: Convert to fraction form
    12,808,173.50/19,810,769 = 19,810,769/x
  3. Step 3: Cross multiply
    12,808,173.50x = 19,810,769 × 19,810,769
  4. Step 4: Simplify right side
    12,808,173.50x = 392,466,568,371,361
  5. Step 5: Solve for x
    x = 392,466,568,371,361/12,808,173.50
  6. Step 6: Final answer
    x = 30,641,884.14

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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.