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Finding the Third Proportional to 14,022,310 and 20,977,412

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Solution

The third proportional to 14,022,310 and 20,977,412 is: 31,382,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022,310 : 20,977,412 = 20,977,412 : x
  2. Step 2: Convert to fraction form
    14,022,310/20,977,412 = 20,977,412/x
  3. Step 3: Cross multiply
    14,022,310x = 20,977,412 × 20,977,412
  4. Step 4: Simplify right side
    14,022,310x = 440,051,814,217,744
  5. Step 5: Solve for x
    x = 440,051,814,217,744/14,022,310
  6. Step 6: Final answer
    x = 31,382,262.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.