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Finding the Third Proportional to 20,509,098 and 31,746,204

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Solution

The third proportional to 20,509,098 and 31,746,204 is: 49,140,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509,098 : 31,746,204 = 31,746,204 : x
  2. Step 2: Convert to fraction form
    20,509,098/31,746,204 = 31,746,204/x
  3. Step 3: Cross multiply
    20,509,098x = 31,746,204 × 31,746,204
  4. Step 4: Simplify right side
    20,509,098x = 1,007,821,468,409,616
  5. Step 5: Solve for x
    x = 1,007,821,468,409,616/20,509,098
  6. Step 6: Final answer
    x = 49,140,214.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.