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Finding the Third Proportional to 14,836,926 and 31,633,620

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Solution

The third proportional to 14,836,926 and 31,633,620 is: 67,445,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836,926 : 31,633,620 = 31,633,620 : x
  2. Step 2: Convert to fraction form
    14,836,926/31,633,620 = 31,633,620/x
  3. Step 3: Cross multiply
    14,836,926x = 31,633,620 × 31,633,620
  4. Step 4: Simplify right side
    14,836,926x = 1,000,685,914,304,400
  5. Step 5: Solve for x
    x = 1,000,685,914,304,400/14,836,926
  6. Step 6: Final answer
    x = 67,445,636.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.