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Finding the Third Proportional to 4,211,823 and 9,096,135

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Solution

The third proportional to 4,211,823 and 9,096,135 is: 19,644,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,823 : 9,096,135 = 9,096,135 : x
  2. Step 2: Convert to fraction form
    4,211,823/9,096,135 = 9,096,135/x
  3. Step 3: Cross multiply
    4,211,823x = 9,096,135 × 9,096,135
  4. Step 4: Simplify right side
    4,211,823x = 82,739,671,938,225
  5. Step 5: Solve for x
    x = 82,739,671,938,225/4,211,823
  6. Step 6: Final answer
    x = 19,644,622.28

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Why These Related Problems?

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