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Finding the Third Proportional to 14,766,512 and 22,353,784

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Solution

The third proportional to 14,766,512 and 22,353,784 is: 33,839,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766,512 : 22,353,784 = 22,353,784 : x
  2. Step 2: Convert to fraction form
    14,766,512/22,353,784 = 22,353,784/x
  3. Step 3: Cross multiply
    14,766,512x = 22,353,784 × 22,353,784
  4. Step 4: Simplify right side
    14,766,512x = 499,691,659,118,656
  5. Step 5: Solve for x
    x = 499,691,659,118,656/14,766,512
  6. Step 6: Final answer
    x = 33,839,518.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.