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Finding the Third Proportional to 4,664,648 and 7,196,224

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Solution

The third proportional to 4,664,648 and 7,196,224 is: 11,101,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664,648 : 7,196,224 = 7,196,224 : x
  2. Step 2: Convert to fraction form
    4,664,648/7,196,224 = 7,196,224/x
  3. Step 3: Cross multiply
    4,664,648x = 7,196,224 × 7,196,224
  4. Step 4: Simplify right side
    4,664,648x = 51,785,639,858,176
  5. Step 5: Solve for x
    x = 51,785,639,858,176/4,664,648
  6. Step 6: Final answer
    x = 11,101,725.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.