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Finding the Third Proportional to 7,693,976 and 16,721,401

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Solution

The third proportional to 7,693,976 and 16,721,401 is: 36,340,801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693,976 : 16,721,401 = 16,721,401 : x
  2. Step 2: Convert to fraction form
    7,693,976/16,721,401 = 16,721,401/x
  3. Step 3: Cross multiply
    7,693,976x = 16,721,401 × 16,721,401
  4. Step 4: Simplify right side
    7,693,976x = 279,605,251,402,801
  5. Step 5: Solve for x
    x = 279,605,251,402,801/7,693,976
  6. Step 6: Final answer
    x = 36,340,801.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.