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Finding the Third Proportional to 10,775,484 and 16,729,920

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Solution

The third proportional to 10,775,484 and 16,729,920 is: 25,974,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775,484 : 16,729,920 = 16,729,920 : x
  2. Step 2: Convert to fraction form
    10,775,484/16,729,920 = 16,729,920/x
  3. Step 3: Cross multiply
    10,775,484x = 16,729,920 × 16,729,920
  4. Step 4: Simplify right side
    10,775,484x = 279,890,223,206,400
  5. Step 5: Solve for x
    x = 279,890,223,206,400/10,775,484
  6. Step 6: Final answer
    x = 25,974,724.03

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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.