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Finding the Third Proportional to 10,498,741 and 21,835,538

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Solution

The third proportional to 10,498,741 and 21,835,538 is: 45,414,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498,741 : 21,835,538 = 21,835,538 : x
  2. Step 2: Convert to fraction form
    10,498,741/21,835,538 = 21,835,538/x
  3. Step 3: Cross multiply
    10,498,741x = 21,835,538 × 21,835,538
  4. Step 4: Simplify right side
    10,498,741x = 476,790,719,749,444
  5. Step 5: Solve for x
    x = 476,790,719,749,444/10,498,741
  6. Step 6: Final answer
    x = 45,414,085.34

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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.