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Finding the Third Proportional to 4,249,154 and 9,954,149

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Solution

The third proportional to 4,249,154 and 9,954,149 is: 23,318,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249,154 : 9,954,149 = 9,954,149 : x
  2. Step 2: Convert to fraction form
    4,249,154/9,954,149 = 9,954,149/x
  3. Step 3: Cross multiply
    4,249,154x = 9,954,149 × 9,954,149
  4. Step 4: Simplify right side
    4,249,154x = 99,085,082,314,201
  5. Step 5: Solve for x
    x = 99,085,082,314,201/4,249,154
  6. Step 6: Final answer
    x = 23,318,778.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.