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Finding the Third Proportional to 14,022,315 and 20,977,416

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Solution

The third proportional to 14,022,315 and 20,977,416 is: 31,382,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022,315 : 20,977,416 = 20,977,416 : x
  2. Step 2: Convert to fraction form
    14,022,315/20,977,416 = 20,977,416/x
  3. Step 3: Cross multiply
    14,022,315x = 20,977,416 × 20,977,416
  4. Step 4: Simplify right side
    14,022,315x = 440,051,982,037,056
  5. Step 5: Solve for x
    x = 440,051,982,037,056/14,022,315
  6. Step 6: Final answer
    x = 31,382,263.35

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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.