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Finding the Third Proportional to 9,718,847 and 20,996,336

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Solution

The third proportional to 9,718,847 and 20,996,336 is: 45,359,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718,847 : 20,996,336 = 20,996,336 : x
  2. Step 2: Convert to fraction form
    9,718,847/20,996,336 = 20,996,336/x
  3. Step 3: Cross multiply
    9,718,847x = 20,996,336 × 20,996,336
  4. Step 4: Simplify right side
    9,718,847x = 440,846,125,424,896
  5. Step 5: Solve for x
    x = 440,846,125,424,896/9,718,847
  6. Step 6: Final answer
    x = 45,359,920.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.