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Finding the Third Proportional to 10,775,432 and 16,729,762

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Solution

The third proportional to 10,775,432 and 16,729,762 is: 25,974,358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775,432 : 16,729,762 = 16,729,762 : x
  2. Step 2: Convert to fraction form
    10,775,432/16,729,762 = 16,729,762/x
  3. Step 3: Cross multiply
    10,775,432x = 16,729,762 × 16,729,762
  4. Step 4: Simplify right side
    10,775,432x = 279,884,936,576,644
  5. Step 5: Solve for x
    x = 279,884,936,576,644/10,775,432
  6. Step 6: Final answer
    x = 25,974,358.76

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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.