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Finding the Third Proportional to 13,914,274.50 and 21,666,460.50

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Solution

The third proportional to 13,914,274.50 and 21,666,460.50 is: 33,737,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914,274.50 : 21,666,460.50 = 21,666,460.50 : x
  2. Step 2: Convert to fraction form
    13,914,274.50/21,666,460.50 = 21,666,460.50/x
  3. Step 3: Cross multiply
    13,914,274.50x = 21,666,460.50 × 21,666,460.50
  4. Step 4: Simplify right side
    13,914,274.50x = 469,435,510,598,060.25
  5. Step 5: Solve for x
    x = 469,435,510,598,060.25/13,914,274.50
  6. Step 6: Final answer
    x = 33,737,692.22

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