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Finding the Third Proportional to 7,838,324 and 10,831,149

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Solution

The third proportional to 7,838,324 and 10,831,149 is: 14,966,692.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838,324 : 10,831,149 = 10,831,149 : x
  2. Step 2: Convert to fraction form
    7,838,324/10,831,149 = 10,831,149/x
  3. Step 3: Cross multiply
    7,838,324x = 10,831,149 × 10,831,149
  4. Step 4: Simplify right side
    7,838,324x = 117,313,788,660,201
  5. Step 5: Solve for x
    x = 117,313,788,660,201/7,838,324
  6. Step 6: Final answer
    x = 14,966,692.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.