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Finding the Third Proportional to 4,844,009 and 10,383,498

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Solution

The third proportional to 4,844,009 and 10,383,498 is: 22,257,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844,009 : 10,383,498 = 10,383,498 : x
  2. Step 2: Convert to fraction form
    4,844,009/10,383,498 = 10,383,498/x
  3. Step 3: Cross multiply
    4,844,009x = 10,383,498 × 10,383,498
  4. Step 4: Simplify right side
    4,844,009x = 107,817,030,716,004
  5. Step 5: Solve for x
    x = 107,817,030,716,004/4,844,009
  6. Step 6: Final answer
    x = 22,257,809.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.