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Finding the Third Proportional to 13,509,885 and 19,907,491.50

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Solution

The third proportional to 13,509,885 and 19,907,491.50 is: 29,334,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509,885 : 19,907,491.50 = 19,907,491.50 : x
  2. Step 2: Convert to fraction form
    13,509,885/19,907,491.50 = 19,907,491.50/x
  3. Step 3: Cross multiply
    13,509,885x = 19,907,491.50 × 19,907,491.50
  4. Step 4: Simplify right side
    13,509,885x = 396,308,217,822,572.25
  5. Step 5: Solve for x
    x = 396,308,217,822,572.25/13,509,885
  6. Step 6: Final answer
    x = 29,334,684.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.