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Finding the Third Proportional to 13,789,894.50 and 22,219,193.25

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Solution

The third proportional to 13,789,894.50 and 22,219,193.25 is: 35,801,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789,894.50 : 22,219,193.25 = 22,219,193.25 : x
  2. Step 2: Convert to fraction form
    13,789,894.50/22,219,193.25 = 22,219,193.25/x
  3. Step 3: Cross multiply
    13,789,894.50x = 22,219,193.25 × 22,219,193.25
  4. Step 4: Simplify right side
    13,789,894.50x = 493,692,548,680,845.56
  5. Step 5: Solve for x
    x = 493,692,548,680,845.56/13,789,894.50
  6. Step 6: Final answer
    x = 35,801,038.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.