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Finding the Third Proportional to 4,206,537 and 9,150,102

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Solution

The third proportional to 4,206,537 and 9,150,102 is: 19,903,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,537 : 9,150,102 = 9,150,102 : x
  2. Step 2: Convert to fraction form
    4,206,537/9,150,102 = 9,150,102/x
  3. Step 3: Cross multiply
    4,206,537x = 9,150,102 × 9,150,102
  4. Step 4: Simplify right side
    4,206,537x = 83,724,366,610,404
  5. Step 5: Solve for x
    x = 83,724,366,610,404/4,206,537
  6. Step 6: Final answer
    x = 19,903,394.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.