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Finding the Third Proportional to 10,612,324 and 16,831,200

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Solution

The third proportional to 10,612,324 and 16,831,200 is: 26,694,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612,324 : 16,831,200 = 16,831,200 : x
  2. Step 2: Convert to fraction form
    10,612,324/16,831,200 = 16,831,200/x
  3. Step 3: Cross multiply
    10,612,324x = 16,831,200 × 16,831,200
  4. Step 4: Simplify right side
    10,612,324x = 283,289,293,440,000
  5. Step 5: Solve for x
    x = 283,289,293,440,000/10,612,324
  6. Step 6: Final answer
    x = 26,694,369.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.