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Finding the Third Proportional to 12,284,743.50 and 19,269,495

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Solution

The third proportional to 12,284,743.50 and 19,269,495 is: 30,225,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284,743.50 : 19,269,495 = 19,269,495 : x
  2. Step 2: Convert to fraction form
    12,284,743.50/19,269,495 = 19,269,495/x
  3. Step 3: Cross multiply
    12,284,743.50x = 19,269,495 × 19,269,495
  4. Step 4: Simplify right side
    12,284,743.50x = 371,313,437,555,025
  5. Step 5: Solve for x
    x = 371,313,437,555,025/12,284,743.50
  6. Step 6: Final answer
    x = 30,225,575.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.