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Finding the Third Proportional to 13,831,477.50 and 22,223,414.75

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Solution

The third proportional to 13,831,477.50 and 22,223,414.75 is: 35,706,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831,477.50 : 22,223,414.75 = 22,223,414.75 : x
  2. Step 2: Convert to fraction form
    13,831,477.50/22,223,414.75 = 22,223,414.75/x
  3. Step 3: Cross multiply
    13,831,477.50x = 22,223,414.75 × 22,223,414.75
  4. Step 4: Simplify right side
    13,831,477.50x = 493,880,163,150,517.56
  5. Step 5: Solve for x
    x = 493,880,163,150,517.56/13,831,477.50
  6. Step 6: Final answer
    x = 35,706,970.80

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