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Finding the Third Proportional to 10,498,734 and 21,835,524

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Solution

The third proportional to 10,498,734 and 21,835,524 is: 45,414,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498,734 : 21,835,524 = 21,835,524 : x
  2. Step 2: Convert to fraction form
    10,498,734/21,835,524 = 21,835,524/x
  3. Step 3: Cross multiply
    10,498,734x = 21,835,524 × 21,835,524
  4. Step 4: Simplify right side
    10,498,734x = 476,790,108,354,576
  5. Step 5: Solve for x
    x = 476,790,108,354,576/10,498,734
  6. Step 6: Final answer
    x = 45,414,057.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.