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Finding the Third Proportional to 4,212,205 and 9,096,865

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Solution

The third proportional to 4,212,205 and 9,096,865 is: 19,645,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212,205 : 9,096,865 = 9,096,865 : x
  2. Step 2: Convert to fraction form
    4,212,205/9,096,865 = 9,096,865/x
  3. Step 3: Cross multiply
    4,212,205x = 9,096,865 × 9,096,865
  4. Step 4: Simplify right side
    4,212,205x = 82,752,952,828,225
  5. Step 5: Solve for x
    x = 82,752,952,828,225/4,212,205
  6. Step 6: Final answer
    x = 19,645,993.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.