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Finding the Third Proportional to 13,913,738.25 and 21,665,692.88

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Solution

The third proportional to 13,913,738.25 and 21,665,692.88 is: 33,736,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913,738.25 : 21,665,692.88 = 21,665,692.88 : x
  2. Step 2: Convert to fraction form
    13,913,738.25/21,665,692.88 = 21,665,692.88/x
  3. Step 3: Cross multiply
    13,913,738.25x = 21,665,692.88 × 21,665,692.88
  4. Step 4: Simplify right side
    13,913,738.25x = 469,402,247,753,825.75
  5. Step 5: Solve for x
    x = 469,402,247,753,825.75/13,913,738.25
  6. Step 6: Final answer
    x = 33,736,601.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.