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Finding the Third Proportional to 9,786,976 and 20,262,128

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Solution

The third proportional to 9,786,976 and 20,262,128 is: 41,948,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,976 : 20,262,128 = 20,262,128 : x
  2. Step 2: Convert to fraction form
    9,786,976/20,262,128 = 20,262,128/x
  3. Step 3: Cross multiply
    9,786,976x = 20,262,128 × 20,262,128
  4. Step 4: Simplify right side
    9,786,976x = 410,553,831,088,384
  5. Step 5: Solve for x
    x = 410,553,831,088,384/9,786,976
  6. Step 6: Final answer
    x = 41,948,997.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.