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Finding the Third Proportional to 4,215,146 and 9,947,132

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Solution

The third proportional to 4,215,146 and 9,947,132 is: 23,473,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215,146 : 9,947,132 = 9,947,132 : x
  2. Step 2: Convert to fraction form
    4,215,146/9,947,132 = 9,947,132/x
  3. Step 3: Cross multiply
    4,215,146x = 9,947,132 × 9,947,132
  4. Step 4: Simplify right side
    4,215,146x = 98,945,435,025,424
  5. Step 5: Solve for x
    x = 98,945,435,025,424/4,215,146
  6. Step 6: Final answer
    x = 23,473,785.97

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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.