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Finding the Third Proportional to 14,022,309 and 20,977,410

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Solution

The third proportional to 14,022,309 and 20,977,410 is: 31,382,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022,309 : 20,977,410 = 20,977,410 : x
  2. Step 2: Convert to fraction form
    14,022,309/20,977,410 = 20,977,410/x
  3. Step 3: Cross multiply
    14,022,309x = 20,977,410 × 20,977,410
  4. Step 4: Simplify right side
    14,022,309x = 440,051,730,308,100
  5. Step 5: Solve for x
    x = 440,051,730,308,100/14,022,309
  6. Step 6: Final answer
    x = 31,382,258.82

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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.