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Finding the Third Proportional to 10,612,314 and 16,831,188

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Solution

The third proportional to 10,612,314 and 16,831,188 is: 26,694,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612,314 : 16,831,188 = 16,831,188 : x
  2. Step 2: Convert to fraction form
    10,612,314/16,831,188 = 16,831,188/x
  3. Step 3: Cross multiply
    10,612,314x = 16,831,188 × 16,831,188
  4. Step 4: Simplify right side
    10,612,314x = 283,288,889,491,344
  5. Step 5: Solve for x
    x = 283,288,889,491,344/10,612,314
  6. Step 6: Final answer
    x = 26,694,356.15

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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.