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Finding the Third Proportional to 9,753,692 and 21,224,424

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Solution

The third proportional to 9,753,692 and 21,224,424 is: 46,185,195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753,692 : 21,224,424 = 21,224,424 : x
  2. Step 2: Convert to fraction form
    9,753,692/21,224,424 = 21,224,424/x
  3. Step 3: Cross multiply
    9,753,692x = 21,224,424 × 21,224,424
  4. Step 4: Simplify right side
    9,753,692x = 450,476,174,131,776
  5. Step 5: Solve for x
    x = 450,476,174,131,776/9,753,692
  6. Step 6: Final answer
    x = 46,185,195.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.