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Finding the Third Proportional to 20,965,982 and 31,596,717

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Solution

The third proportional to 20,965,982 and 31,596,717 is: 47,617,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965,982 : 31,596,717 = 31,596,717 : x
  2. Step 2: Convert to fraction form
    20,965,982/31,596,717 = 31,596,717/x
  3. Step 3: Cross multiply
    20,965,982x = 31,596,717 × 31,596,717
  4. Step 4: Simplify right side
    20,965,982x = 998,352,525,178,089
  5. Step 5: Solve for x
    x = 998,352,525,178,089/20,965,982
  6. Step 6: Final answer
    x = 47,617,732.63

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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.