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Finding the Third Proportional to 9,814,624 and 21,448,832

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Solution

The third proportional to 9,814,624 and 21,448,832 is: 46,874,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814,624 : 21,448,832 = 21,448,832 : x
  2. Step 2: Convert to fraction form
    9,814,624/21,448,832 = 21,448,832/x
  3. Step 3: Cross multiply
    9,814,624x = 21,448,832 × 21,448,832
  4. Step 4: Simplify right side
    9,814,624x = 460,052,394,164,224
  5. Step 5: Solve for x
    x = 460,052,394,164,224/9,814,624
  6. Step 6: Final answer
    x = 46,874,174.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.