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Finding the Third Proportional to 9,697,272 and 21,211,942.50

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Solution

The third proportional to 9,697,272 and 21,211,942.50 is: 46,399,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697,272 : 21,211,942.50 = 21,211,942.50 : x
  2. Step 2: Convert to fraction form
    9,697,272/21,211,942.50 = 21,211,942.50/x
  3. Step 3: Cross multiply
    9,697,272x = 21,211,942.50 × 21,211,942.50
  4. Step 4: Simplify right side
    9,697,272x = 449,946,504,623,306.25
  5. Step 5: Solve for x
    x = 449,946,504,623,306.25/9,697,272
  6. Step 6: Final answer
    x = 46,399,286.79

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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.