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Finding the Third Proportional to 16,839,966 and 24,620,620

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Solution

The third proportional to 16,839,966 and 24,620,620 is: 35,996,208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839,966 : 24,620,620 = 24,620,620 : x
  2. Step 2: Convert to fraction form
    16,839,966/24,620,620 = 24,620,620/x
  3. Step 3: Cross multiply
    16,839,966x = 24,620,620 × 24,620,620
  4. Step 4: Simplify right side
    16,839,966x = 606,174,929,184,400
  5. Step 5: Solve for x
    x = 606,174,929,184,400/16,839,966
  6. Step 6: Final answer
    x = 35,996,208.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.