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Finding the Third Proportional to 10,797,710 and 16,557,378

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Solution

The third proportional to 10,797,710 and 16,557,378 is: 25,389,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797,710 : 16,557,378 = 16,557,378 : x
  2. Step 2: Convert to fraction form
    10,797,710/16,557,378 = 16,557,378/x
  3. Step 3: Cross multiply
    10,797,710x = 16,557,378 × 16,557,378
  4. Step 4: Simplify right side
    10,797,710x = 274,146,766,234,884
  5. Step 5: Solve for x
    x = 274,146,766,234,884/10,797,710
  6. Step 6: Final answer
    x = 25,389,343.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.