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Finding the Third Proportional to 10,677,096 and 16,546,437

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Solution

The third proportional to 10,677,096 and 16,546,437 is: 25,642,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677,096 : 16,546,437 = 16,546,437 : x
  2. Step 2: Convert to fraction form
    10,677,096/16,546,437 = 16,546,437/x
  3. Step 3: Cross multiply
    10,677,096x = 16,546,437 × 16,546,437
  4. Step 4: Simplify right side
    10,677,096x = 273,784,577,394,969
  5. Step 5: Solve for x
    x = 273,784,577,394,969/10,677,096
  6. Step 6: Final answer
    x = 25,642,232.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.