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Finding the Third Proportional to 4,749,624 and 11,200,896

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Solution

The third proportional to 4,749,624 and 11,200,896 is: 26,414,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749,624 : 11,200,896 = 11,200,896 : x
  2. Step 2: Convert to fraction form
    4,749,624/11,200,896 = 11,200,896/x
  3. Step 3: Cross multiply
    4,749,624x = 11,200,896 × 11,200,896
  4. Step 4: Simplify right side
    4,749,624x = 125,460,071,202,816
  5. Step 5: Solve for x
    x = 125,460,071,202,816/4,749,624
  6. Step 6: Final answer
    x = 26,414,737.50

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.