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Finding the Third Proportional to 4,193,746 and 9,172,502

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Solution

The third proportional to 4,193,746 and 9,172,502 is: 20,061,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,746 : 9,172,502 = 9,172,502 : x
  2. Step 2: Convert to fraction form
    4,193,746/9,172,502 = 9,172,502/x
  3. Step 3: Cross multiply
    4,193,746x = 9,172,502 × 9,172,502
  4. Step 4: Simplify right side
    4,193,746x = 84,134,792,940,004
  5. Step 5: Solve for x
    x = 84,134,792,940,004/4,193,746
  6. Step 6: Final answer
    x = 20,061,966.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.